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152444424 = 23311975953
BaseRepresentation
bin10010001011000…
…01111000001000
3101121211222102210
421011201320020
5303011210144
623043225120
73530520246
oct1105417010
9347758383
10152444424
1179061830
12430781a0
1325776702
1416363796
15d5b3ab9
hex9161e08

152444424 has 64 divisors (see below), whose sum is σ = 420114240. Its totient is φ = 45711360.

The previous prime is 152444419. The next prime is 152444431. The reversal of 152444424 is 424444251.

It is a junction number, because it is equal to n+sod(n) for n = 152444391 and 152444400.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22632 + ... + 28584.

It is an arithmetic number, because the mean of its divisors is an integer number (6564285).

Almost surely, 2152444424 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 152444424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210057120).

152444424 is an abundant number, since it is smaller than the sum of its proper divisors (267669816).

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

152444424 is a wasteful number, since it uses less digits than its factorization.

152444424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6070 (or 6066 counting only the distinct ones).

The product of its digits is 20480, while the sum is 30.

The square root of 152444424 is about 12346.8386237125. The cubic root of 152444424 is about 534.1999559776.

Adding to 152444424 its reverse (424444251), we get a palindrome (576888675).

It can be divided in two parts, 1 and 52444424, that added together give a palindrome (52444425).

The spelling of 152444424 in words is "one hundred fifty-two million, four hundred forty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 97 132 194 264 291 388 582 776 1067 1164 2134 2328 3201 4268 5953 6402 8536 11906 12804 17859 23812 25608 35718 47624 65483 71436 130966 142872 196449 261932 392898 523864 577441 785796 1154882 1571592 1732323 2309764 3464646 4619528 6351851 6929292 12703702 13858584 19055553 25407404 38111106 50814808 76222212 152444424