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152934444 = 2232132291427
BaseRepresentation
bin10010001110110…
…01100000101100
3101122202212121200
421013121200230
5303122400234
623101525500
73534631005
oct1107314054
9348685550
10152934444
1179366a03
1243273890
13258b8770
14164501ac
15d65dd99
hex91d982c

152934444 has 72 divisors (see below), whose sum is σ = 418432560. Its totient is φ = 46818432.

The previous prime is 152934437. The next prime is 152934479. The reversal of 152934444 is 444439251.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 152934399 and 152934408.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106459 + ... + 107885.

Almost surely, 2152934444 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 152934444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209216280).

152934444 is an abundant number, since it is smaller than the sum of its proper divisors (265498116).

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

152934444 is a wasteful number, since it uses less digits than its factorization.

152934444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1674 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 152934444 is about 12366.6666486972. Note that the first 4 decimals coincide. The cubic root of 152934444 is about 534.7717243144.

The spelling of 152934444 in words is "one hundred fifty-two million, nine hundred thirty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 229 234 458 468 687 916 1374 1427 2061 2748 2854 2977 4122 4281 5708 5954 8244 8562 8931 11908 12843 17124 17862 18551 25686 26793 35724 37102 51372 53586 55653 74204 107172 111306 166959 222612 326783 333918 653566 667836 980349 1307132 1960698 2941047 3921396 4248179 5882094 8496358 11764188 12744537 16992716 25489074 38233611 50978148 76467222 152934444