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1055625728 = 29712409
BaseRepresentation
bin111110111010111…
…001001000000000
32201120100100021012
4332322321020000
54130220010403
6252425420052
735105446013
oct7672711000
92646310235
101055625728
114a1967263
1225563a628
1313a915111
14a02ab37a
1562a1ced8
hex3eeb9200

1055625728 has 60 divisors (see below), whose sum is σ = 2144545590. Its totient is φ = 519106560.

The previous prime is 1055625721. The next prime is 1055625743. The reversal of 1055625728 is 8275265501.

It can be written as a sum of positive squares in only one way, i.e., 682672384 + 372953344 = 26128^2 + 19312^2 .

It is a super-2 number, since 2×10556257282 = 2228691355231059968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1055625721) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2580788 + ... + 2581196.

Almost surely, 21055625728 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 1055625728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072272795).

1055625728 is an abundant number, since it is smaller than the sum of its proper divisors (1088919862).

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

1055625728 is an frugal number, since it uses more digits than its factorization.

1055625728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 41.

The square root of 1055625728 is about 32490.3943958826. The cubic root of 1055625728 is about 1018.2083529263.

The spelling of 1055625728 in words is "one billion, fifty-five million, six hundred twenty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 71 128 142 256 284 409 512 568 818 1136 1636 2272 3272 4544 5041 6544 9088 10082 13088 18176 20164 26176 29039 36352 40328 52352 58078 80656 104704 116156 161312 209408 232312 322624 464624 645248 929248 1290496 1858496 2061769 2580992 3716992 4123538 7433984 8247076 14867968 16494152 32988304 65976608 131953216 263906432 527812864 1055625728