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672628704 = 253114314813
BaseRepresentation
bin101000000101110…
…111111111100000
31201212200002010020
4220011313333200
52334143104304
6150424433440
722445151426
oct5005677740
91655602106
10672628704
113157549a0
12169318880
13a9477a67
1465491116
153e0b75d9
hex28177fe0

672628704 has 96 divisors (see below), whose sum is σ = 1971091584. Its totient is φ = 199073280.

The previous prime is 672628699. The next prime is 672628717. The reversal of 672628704 is 407826276.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 38002 + ... + 52814.

It is an arithmetic number, because the mean of its divisors is an integer number (20532204).

Almost surely, 2672628704 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 672628704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985545792).

672628704 is an abundant number, since it is smaller than the sum of its proper divisors (1298462880).

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

672628704 is a wasteful number, since it uses less digits than its factorization.

672628704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14880 (or 14872 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 672628704 is about 25935.0863503479. The cubic root of 672628704 is about 876.1768997011.

The spelling of 672628704 in words is "six hundred seventy-two million, six hundred twenty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 43 44 48 66 86 88 96 129 132 172 176 258 264 344 352 473 516 528 688 946 1032 1056 1376 1419 1892 2064 2838 3784 4128 5676 7568 11352 14813 15136 22704 29626 44439 45408 59252 88878 118504 162943 177756 237008 325886 355512 474016 488829 636959 651772 711024 977658 1273918 1303544 1422048 1910877 1955316 2547836 2607088 3821754 3910632 5095672 5214176 7006549 7643508 7821264 10191344 14013098 15287016 15642528 20382688 21019647 28026196 30574032 42039294 56052392 61148064 84078588 112104784 168157176 224209568 336314352 672628704