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161451472 = 2473133173
BaseRepresentation
bin10011001111110…
…00110111010000
3102020210120210011
421213320313100
5312312421342
624004244304
74000213000
oct1147706720
9366716704
10161451472
1183153976
12460a0694
13275ab320
141762a000
15e292717
hex99f8dd0

161451472 has 160 divisors (see below), whose sum is σ = 411084800. Its totient is φ = 60963840.

The previous prime is 161451449. The next prime is 161451487. The reversal of 161451472 is 274154161.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2211628 + ... + 2211700.

It is an arithmetic number, because the mean of its divisors is an integer number (2569280).

Almost surely, 2161451472 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 161451472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205542400).

161451472 is an abundant number, since it is smaller than the sum of its proper divisors (249633328).

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

161451472 is a wasteful number, since it uses less digits than its factorization.

161451472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 126 counting only the distinct ones).

The product of its digits is 6720, while the sum is 31.

The square root of 161451472 is about 12706.3555750656. The cubic root of 161451472 is about 544.5202095618.

The spelling of 161451472 in words is "one hundred sixty-one million, four hundred fifty-one thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 49 52 56 62 73 91 98 104 112 124 146 182 196 208 217 248 292 343 364 392 403 434 496 511 584 637 686 728 784 806 868 949 1022 1168 1274 1372 1456 1519 1612 1736 1898 2044 2263 2548 2744 2821 3038 3224 3472 3577 3796 4088 4459 4526 5096 5488 5642 6076 6448 6643 7154 7592 8176 8918 9052 10192 10633 11284 12152 13286 14308 15184 15841 17836 18104 19747 21266 22568 24304 25039 26572 28616 29419 31682 35672 36208 39494 42532 45136 46501 50078 53144 57232 58838 63364 71344 78988 85064 93002 100156 106288 110887 117676 126728 138229 157976 170128 186004 200312 205933 221774 235352 253456 276458 315952 325507 372008 400624 411866 443548 470704 552916 651014 744016 776209 823732 887096 1105832 1302028 1441531 1552418 1647464 1774192 2211664 2604056 2883062 3104836 3294928 5208112 5766124 6209672 10090717 11532248 12419344 20181434 23064496 40362868 80725736 161451472