Search a number
-
+
161259552 = 25331710979
BaseRepresentation
bin10011001110010…
…10000000100000
3102020102211112000
421213022000200
5312240301202
624000204000
73665453316
oct1147120040
9366384460
10161259552
1183032763
1246009600
1327541b6c
14175ba0b6
15e25591c
hex99ca020

161259552 has 96 divisors (see below), whose sum is σ = 498052800. Its totient is φ = 50586624.

The previous prime is 161259547. The next prime is 161259557. The reversal of 161259552 is 255952161.

161259552 is a `hidden beast` number, since 1 + 6 + 12 + 595 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (161259547) and next prime (161259557).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1612595522 = 52009286222481408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161259557) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9199 + ... + 20177.

It is an arithmetic number, because the mean of its divisors is an integer number (5188050).

Almost surely, 2161259552 is an apocalyptic number.

161259552 is a gapful number since it is divisible by the number (12) 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 161259552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249026400).

161259552 is an abundant number, since it is smaller than the sum of its proper divisors (336793248).

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

161259552 is a wasteful number, since it uses less digits than its factorization.

161259552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11015 (or 11001 counting only the distinct ones).

The product of its digits is 27000, while the sum is 36.

The square root of 161259552 is about 12698.8012032632. The cubic root of 161259552 is about 544.3043639926.

The spelling of 161259552 in words is "one hundred sixty-one million, two hundred fifty-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 918 1224 1632 1836 2448 3672 4896 7344 10979 14688 21958 32937 43916 65874 87832 98811 131748 175664 186643 197622 263496 296433 351328 373286 395244 526992 559929 592866 746572 790488 1053984 1119858 1185732 1493144 1580976 1679787 2239716 2371464 2986288 3161952 3359574 4479432 4742928 5039361 5972576 6719148 8958864 9485856 10078722 13438296 17917728 20157444 26876592 40314888 53753184 80629776 161259552