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1553621056 = 261323792
BaseRepresentation
bin101110010011010…
…0110000001000000
311000021102010102121
41130212212001000
511140211333211
6414055254024
753333363311
oct13446460100
94007363377
101553621056
11727a84549
1237437a314
131b9b47900
1410a4a0608
15915dc271
hex5c9a6040

1553621056 has 63 divisors (see below), whose sum is σ = 3347192061. Its totient is φ = 715163904.

The previous prime is 1553621053. The next prime is 1553621057. The reversal of 1553621056 is 6501263551.

The square root of 1553621056 is 39416.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 229825600 + 1323795456 = 15160^2 + 36384^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1553621053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4099075 + ... + 4099453.

Almost surely, 21553621056 is an apocalyptic number.

1553621056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1553621056 is the 39416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1553621056

1553621056 is an abundant number, since it is smaller than the sum of its proper divisors (1793571005).

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

1553621056 is an frugal number, since it uses more digits than its factorization.

1553621056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 34.

The cubic root of 1553621056 is about 1158.1950367656.

The spelling of 1553621056 in words is "one billion, five hundred fifty-three million, six hundred twenty-one thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 379 416 676 758 832 1352 1516 2704 3032 4927 5408 6064 9854 10816 12128 19708 24256 39416 64051 78832 128102 143641 157664 256204 287282 315328 512408 574564 1024816 1149128 1867333 2049632 2298256 3734666 4099264 4596512 7469332 9193024 14938664 24275329 29877328 48550658 59754656 97101316 119509312 194202632 388405264 776810528 1553621056