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161961552 = 2433834517
BaseRepresentation
bin10011010011101…
…01011001010000
3102021202111111000
421221311121100
5312430232202
624023222000
74004436054
oct1151653120
9367674430
10161961552
1183472125
12462a7900
132772954c
141771dc64
15e34391c
hex9a75650

161961552 has 80 divisors (see below), whose sum is σ = 470594880. Its totient is φ = 53324928.

The previous prime is 161961539. The next prime is 161961557. The reversal of 161961552 is 255169161.

161961552 is a `hidden beast` number, since 16 + 1 + 96 + 1 + 552 = 666.

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 (161961557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33598 + ... + 38114.

It is an arithmetic number, because the mean of its divisors is an integer number (5882436).

Almost surely, 2161961552 is an apocalyptic number.

161961552 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 161961552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235297440).

161961552 is an abundant number, since it is smaller than the sum of its proper divisors (308633328).

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

161961552 is a wasteful number, since it uses less digits than its factorization.

161961552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4617 (or 4605 counting only the distinct ones).

The product of its digits is 16200, while the sum is 36.

The square root of 161961552 is about 12726.4115916467. The cubic root of 161961552 is about 545.0930481087.

The spelling of 161961552 in words is "one hundred sixty-one million, nine hundred sixty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 83 108 144 166 216 249 332 432 498 664 747 996 1328 1494 1992 2241 2988 3984 4482 4517 5976 8964 9034 11952 13551 17928 18068 27102 35856 36136 40653 54204 72272 81306 108408 121959 162612 216816 243918 325224 374911 487836 650448 749822 975672 1124733 1499644 1951344 2249466 2999288 3374199 4498932 5998576 6748398 8997864 10122597 13496796 17995728 20245194 26993592 40490388 53987184 80980776 161961552