Search a number
-
+
1952932864 = 21013812
BaseRepresentation
bin111010001100111…
…0110010000000000
312001002210021020211
41310121312100000
512444422322424
6521442043504
766252440551
oct16431662000
95032707224
101952932864
1191241a403
12466049594
132517a7b9c
14147526328
15b66b6b94
hex74676400

1952932864 has 33 divisors (see below), whose sum is σ = 3906787521. Its totient is φ = 975759360.

The previous prime is 1952932843. The next prime is 1952932871. The reversal of 1952932864 is 4682392591.

The square root of 1952932864 is 44192.

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., 887563264 + 1065369600 = 29792^2 + 32640^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1413454 + ... + 1414834.

Almost surely, 21952932864 is an apocalyptic number.

1952932864 is the 44192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1952932864

1952932864 is an abundant number, since it is smaller than the sum of its proper divisors (1953854657).

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

1952932864 is an frugal number, since it uses more digits than its factorization.

1952932864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2782 (or 1383 counting only the distinct ones).

The product of its digits is 933120, while the sum is 49.

The cubic root of 1952932864 is about 1249.9590096425.

Multiplying 1952932864 by its sum of digits (49), we get a square (95693710336 = 3093442).

The spelling of 1952932864 in words is "one billion, nine hundred fifty-two million, nine hundred thirty-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1381 2762 5524 11048 22096 44192 88384 176768 353536 707072 1414144 1907161 3814322 7628644 15257288 30514576 61029152 122058304 244116608 488233216 976466432 1952932864