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152899216 = 24231632549
BaseRepresentation
bin10010001110100…
…00111010010000
3101122201002021221
421013100322100
5303120233331
623101054424
73534423211
oct1107207220
9348632257
10152899216
1179342498
1243257414
13258a5712
1416441408
15d653711
hex91d0e90

152899216 has 40 divisors (see below), whose sum is σ = 311140800. Its totient is φ = 72648576.

The previous prime is 152899211. The next prime is 152899217. The reversal of 152899216 is 612998251.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (152899211) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 58710 + ... + 61258.

It is an arithmetic number, because the mean of its divisors is an integer number (7778520).

Almost surely, 2152899216 is an apocalyptic number.

152899216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

152899216 is the 6610-th centered heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152899216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155570400).

152899216 is an abundant number, since it is smaller than the sum of its proper divisors (158241584).

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

152899216 is a wasteful number, since it uses less digits than its factorization.

152899216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2743 (or 2737 counting only the distinct ones).

The product of its digits is 77760, while the sum is 43.

The square root of 152899216 is about 12365.2422539957. The cubic root of 152899216 is about 534.7306601292.

The spelling of 152899216 in words is "one hundred fifty-two million, eight hundred ninety-nine thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 23 46 92 163 184 326 368 652 1304 2549 2608 3749 5098 7498 10196 14996 20392 29992 40784 58627 59984 117254 234508 415487 469016 830974 938032 1661948 3323896 6647792 9556201 19112402 38224804 76449608 152899216