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81152352 = 2532436553
BaseRepresentation
bin1001101011001…
…00100101100000
312122200222002200
410311210211200
5131233333402
612015213200
72003532531
oct465444540
9178628080
1081152352
1141898a66
1223217200
1313a74a58
14aac6688
1571d021c
hex4d64960

81152352 has 72 divisors (see below), whose sum is σ = 236179944. Its totient is φ = 26417664.

The previous prime is 81152329. The next prime is 81152371. The reversal of 81152352 is 25325118.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×811523523 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9108 + ... + 15660.

It is an arithmetic number, because the mean of its divisors is an integer number (3280277).

Almost surely, 281152352 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 81152352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118089972).

81152352 is an abundant number, since it is smaller than the sum of its proper divisors (155027592).

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

81152352 is a wasteful number, since it uses less digits than its factorization.

81152352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6612 (or 6601 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 81152352 is about 9008.4600237776. The cubic root of 81152352 is about 432.9459723120.

The spelling of 81152352 in words is "eighty-one million, one hundred fifty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 172 258 288 344 387 516 688 774 1032 1376 1548 2064 3096 4128 6192 6553 12384 13106 19659 26212 39318 52424 58977 78636 104848 117954 157272 209696 235908 281779 314544 471816 563558 629088 845337 943632 1127116 1690674 1887264 2254232 2536011 3381348 4508464 5072022 6762696 9016928 10144044 13525392 20288088 27050784 40576176 81152352