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1057704544 = 25134721151
BaseRepresentation
bin111111000010110…
…100101001100000
32201201020221212101
4333002310221200
54131233021134
6252542140144
735132224501
oct7702645140
92651227771
101057704544
114a3057096
12256281654
1313b1923a0
14a068cba8
1562ccde14
hex3f0b4a60

1057704544 has 72 divisors (see below), whose sum is σ = 2293256448. Its totient is φ = 477369600.

The previous prime is 1057704541. The next prime is 1057704547. The reversal of 1057704544 is 4454077501.

It is an interprime number because it is at equal distance from previous prime (1057704541) and next prime (1057704547).

It is a super-2 number, since 2×10577045442 = 2237477804796495872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057704541) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 918369 + ... + 919519.

It is an arithmetic number, because the mean of its divisors is an integer number (31850784).

Almost surely, 21057704544 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 1057704544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146628224).

1057704544 is an abundant number, since it is smaller than the sum of its proper divisors (1235551904).

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

1057704544 is a wasteful number, since it uses less digits than its factorization.

1057704544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 37.

The square root of 1057704544 is about 32522.3699013464. The cubic root of 1057704544 is about 1018.8762916488.

The spelling of 1057704544 in words is "one billion, fifty-seven million, seven hundred four thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 47 52 94 104 188 208 376 416 611 752 1151 1222 1504 2209 2302 2444 4418 4604 4888 8836 9208 9776 14963 17672 18416 19552 28717 29926 35344 36832 54097 57434 59852 70688 108194 114868 119704 216388 229736 239408 432776 459472 478816 703261 865552 918944 1406522 1731104 2542559 2813044 5085118 5626088 10170236 11252176 20340472 22504352 33053267 40680944 66106534 81361888 132213068 264426136 528852272 1057704544