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616469472 = 253229312381
BaseRepresentation
bin100100101111101…
…001001111100000
31120221222220010200
4210233221033200
52230304010342
6141101025200
721163622043
oct4457511740
91527886120
10616469472
11296a87703
12152555200
139a944048
145bc32c5a
15391c294c
hex24be93e0

616469472 has 144 divisors (see below), whose sum is σ = 1872823680. Its totient is φ = 191923200.

The previous prime is 616469467. The next prime is 616469473. The reversal of 616469472 is 274964616.

616469472 is a `hidden beast` number, since 61 + 64 + 69 + 472 = 666.

616469472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616469473) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257722 + ... + 260102.

It is an arithmetic number, because the mean of its divisors is an integer number (13005720).

Almost surely, 2616469472 is an apocalyptic number.

616469472 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 616469472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936411840).

616469472 is an abundant number, since it is smaller than the sum of its proper divisors (1256354208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

616469472 is a wasteful number, since it uses less digits than its factorization.

616469472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457 (or 2446 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 616469472 is about 24828.8032736175. The cubic root of 616469472 is about 851.0802744671.

The spelling of 616469472 in words is "six hundred sixteen million, four hundred sixty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 31 32 36 48 58 62 72 87 93 96 116 124 144 174 186 232 248 261 279 288 348 372 464 496 522 558 696 744 899 928 992 1044 1116 1392 1488 1798 2088 2232 2381 2697 2784 2976 3596 4176 4464 4762 5394 7143 7192 8091 8352 8928 9524 10788 14286 14384 16182 19048 21429 21576 28572 28768 32364 38096 42858 43152 57144 64728 69049 73811 76192 85716 86304 114288 129456 138098 147622 171432 207147 221433 228576 258912 276196 295244 342864 414294 442866 552392 590488 621441 664299 685728 828588 885732 1104784 1180976 1242882 1328598 1657176 1771464 2140519 2209568 2361952 2485764 2657196 3314352 3542928 4281038 4971528 5314392 6421557 6628704 7085856 8562076 9943056 10628784 12843114 17124152 19264671 19886112 21257568 25686228 34248304 38529342 51372456 68496608 77058684 102744912 154117368 205489824 308234736 616469472