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52215408 = 2433731557
BaseRepresentation
bin1100011100101…
…1111001110000
310122020211002000
43013023321300
5101331343113
65103054000
71202552340
oct307137160
9118224060
1052215408
1127524233
12155a1300
13aa828bb
146d12d20
1548b6373
hex31cbe70

52215408 has 160 divisors (see below), whose sum is σ = 177131520. Its totient is φ = 14411520.

The previous prime is 52215343. The next prime is 52215409. The reversal of 52215408 is 80451225.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52215409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93466 + ... + 94022.

It is an arithmetic number, because the mean of its divisors is an integer number (1107072).

Almost surely, 252215408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52215408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88565760).

52215408 is an abundant number, since it is smaller than the sum of its proper divisors (124916112).

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

52215408 is a wasteful number, since it uses less digits than its factorization.

52215408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 52215408 is about 7226.0229725624. The cubic root of 52215408 is about 373.7657984470.

The spelling of 52215408 in words is "fifty-two million, two hundred fifteen thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 36 42 48 54 56 62 63 72 84 93 108 112 124 126 144 168 186 189 216 217 248 252 279 336 372 378 432 434 496 504 557 558 651 744 756 837 868 1008 1114 1116 1302 1488 1512 1671 1674 1736 1953 2228 2232 2604 3024 3342 3348 3472 3899 3906 4456 4464 5013 5208 5859 6684 6696 7798 7812 8912 10026 10416 11697 11718 13368 13392 15039 15596 15624 17267 20052 23394 23436 26736 30078 31192 31248 34534 35091 40104 46788 46872 51801 60156 62384 69068 70182 80208 93576 93744 103602 105273 120312 120869 138136 140364 155403 187152 207204 210546 240624 241738 276272 280728 310806 362607 414408 421092 466209 483476 561456 621612 725214 828816 842184 932418 966952 1087821 1243224 1450428 1684368 1864836 1933904 2175642 2486448 2900856 3263463 3729672 4351284 5801712 6526926 7459344 8702568 13053852 17405136 26107704 52215408