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1451757056 = 2923434761
BaseRepresentation
bin101011010001000…
…0000111000000000
310202011201220021212
41112202000320000
510433122211211
6400020105252
750655505601
oct12642007000
93664656255
101451757056
1168552a622
12346235228
131a1a00859
14dab45da8
15876ba38b
hex56880e00

1451757056 has 160 divisors (see below), whose sum is σ = 3214937088. Its totient is φ = 652861440.

The previous prime is 1451757029. The next prime is 1451757089. The reversal of 1451757056 is 6507571541.

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, 23799266 + ... + 23799326.

Almost surely, 21451757056 is an apocalyptic number.

1451757056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1451757056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607468544).

1451757056 is an abundant number, since it is smaller than the sum of its proper divisors (1763180032).

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

1451757056 is an equidigital number, since it uses as much as digits as its factorization.

1451757056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 147000, while the sum is 41.

The square root of 1451757056 is about 38101.9298198923. The cubic root of 1451757056 is about 1132.3081897991.

The spelling of 1451757056 in words is "one billion, four hundred fifty-one million, seven hundred fifty-seven thousand, fifty-six".

Divisors: 1 2 4 8 16 23 32 43 46 47 61 64 86 92 94 122 128 172 184 188 244 256 344 368 376 488 512 688 736 752 976 989 1081 1376 1403 1472 1504 1952 1978 2021 2162 2623 2752 2806 2867 2944 3008 3904 3956 4042 4324 5246 5504 5612 5734 5888 6016 7808 7912 8084 8648 10492 11008 11224 11468 11776 12032 15616 15824 16168 17296 20984 22016 22448 22936 24064 31232 31648 32336 34592 41968 44896 45872 46483 60329 63296 64672 65941 69184 83936 89792 91744 92966 120658 123281 126592 129344 131882 138368 167872 179584 183488 185932 241316 246562 253184 258688 263764 276736 335744 359168 366976 371864 482632 493124 506368 517376 527528 553472 671488 718336 733952 743728 965264 986248 1034752 1055056 1342976 1467904 1487456 1930528 1972496 2110112 2835463 2974912 3861056 3944992 4220224 5670926 5949824 7722112 7889984 8440448 11341852 11899648 15444224 15779968 16880896 22683704 23799296 30888448 31559936 33761792 45367408 63119872 90734816 181469632 362939264 725878528 1451757056