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2972528 = 241331461
BaseRepresentation
bin1011010101101101110000
312121000112122
423111231300
51230110103
6143413412
734160156
oct13255560
95530478
102972528
111750339
12bb4268
13800cc0
145753d6
153dab38
hex2d5b70

2972528 has 40 divisors (see below), whose sum is σ = 6416256. Its totient is φ = 1324800.

The previous prime is 2972527. The next prime is 2972537. The reversal of 2972528 is 8252792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2972527) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6218 + ... + 6678.

22972528 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 2972528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3208128).

2972528 is an abundant number, since it is smaller than the sum of its proper divisors (3443728).

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

2972528 is a wasteful number, since it uses less digits than its factorization.

2972528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 507 counting only the distinct ones).

The product of its digits is 20160, while the sum is 35.

The square root of 2972528 is about 1724.1020851446. The cubic root of 2972528 is about 143.7833676793.

The spelling of 2972528 in words is "two million, nine hundred seventy-two thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 208 248 403 461 496 806 922 1612 1844 3224 3688 5993 6448 7376 11986 14291 23972 28582 47944 57164 95888 114328 185783 228656 371566 743132 1486264 2972528