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152144672 = 2529672447
BaseRepresentation
bin10010001000110…
…00101100100000
3101121021202020212
421010120230200
5302422112142
623032553252
73525131321
oct1104305440
9347252225
10152144672
11789775a9
1242b52828
13256a0144
14162c6448
15d554d82
hex9118b20

152144672 has 48 divisors (see below), whose sum is σ = 314616960. Its totient is φ = 72323328.

The previous prime is 152144659. The next prime is 152144717. The reversal of 152144672 is 276441251.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60953 + ... + 63399.

It is an arithmetic number, because the mean of its divisors is an integer number (6554520).

Almost surely, 2152144672 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 152144672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157308480).

152144672 is an abundant number, since it is smaller than the sum of its proper divisors (162472288).

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

152144672 is a wasteful number, since it uses less digits than its factorization.

152144672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2553 (or 2545 counting only the distinct ones).

The product of its digits is 13440, while the sum is 32.

The square root of 152144672 is about 12334.6938348708. The cubic root of 152144672 is about 533.8495931614.

The spelling of 152144672 in words is "one hundred fifty-two million, one hundred forty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 29 32 58 67 116 134 232 268 464 536 928 1072 1943 2144 2447 3886 4894 7772 9788 15544 19576 31088 39152 62176 70963 78304 141926 163949 283852 327898 567704 655796 1135408 1311592 2270816 2623184 4754521 5246368 9509042 19018084 38036168 76072336 152144672