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1552990464 = 28328212
BaseRepresentation
bin101110010010000…
…1100000100000000
311000020020002102100
41130210030010000
511140031143324
6414033550400
753325125664
oct13444140400
94006202370
101552990464
117276937a3
12374115400
131b998688c
1410a3788a4
15915154c9
hex5c90c100

1552990464 has 81 divisors (see below), whose sum is σ = 4483114909. Its totient is φ = 517032960.

The previous prime is 1552990457. The next prime is 1552990469. The reversal of 1552990464 is 4640992551.

The square root of 1552990464 is 39408.

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

1552990464 is a `hidden beast` number, since 1 + 552 + 9 + 90 + 4 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 424030464 + 1128960000 = 20592^2 + 33600^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1552990469) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1891174 + ... + 1891994.

Almost surely, 21552990464 is an apocalyptic number.

1552990464 is the 39408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1552990464

1552990464 is an abundant number, since it is smaller than the sum of its proper divisors (2930124445).

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

1552990464 is an frugal number, since it uses more digits than its factorization.

1552990464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The cubic root of 1552990464 is about 1158.0383174342.

It can be divided in two parts, 1552 and 990464, that added together give a square (992016 = 9962).

The spelling of 1552990464 in words is "one billion, five hundred fifty-two million, nine hundred ninety thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 821 1152 1642 2304 2463 3284 4926 6568 7389 9852 13136 14778 19704 26272 29556 39408 52544 59112 78816 105088 118224 157632 210176 236448 315264 472896 630528 674041 945792 1348082 1891584 2022123 2696164 4044246 5392328 6066369 8088492 10784656 12132738 16176984 21569312 24265476 32353968 43138624 48530952 64707936 86277248 97061904 129415872 172554496 194123808 258831744 388247616 517663488 776495232 1552990464