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1952204640 = 25357157283
BaseRepresentation
bin111010001011100…
…0100011101100000
312001001102021022120
41310113010131200
512444231022030
6521414304240
766243315501
oct16427043540
95031367276
101952204640
11911a72271
12465958080
132515b1599
141473b6ba8
15b65c1010
hex745c4760

1952204640 has 96 divisors (see below), whose sum is σ = 6236165376. Its totient is φ = 513246720.

The previous prime is 1952204623. The next prime is 1952204651. The reversal of 1952204640 is 464022591.

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

It is a super-2 number, since 2×19522046402 = 7622205912875059200, which contains 22 as substring.

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, 5439 + ... + 62721.

It is an arithmetic number, because the mean of its divisors is an integer number (64960056).

Almost surely, 21952204640 is an apocalyptic number.

1952204640 is a gapful number since it is divisible by the number (10) 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 1952204640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3118082688).

1952204640 is an abundant number, since it is smaller than the sum of its proper divisors (4283960736).

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

1952204640 is a wasteful number, since it uses less digits than its factorization.

1952204640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57372 (or 57364 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 1952204640 is about 44183.7599124384. The cubic root of 1952204640 is about 1249.8036256847.

The spelling of 1952204640 in words is "one billion, nine hundred fifty-two million, two hundred four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 71 80 96 120 142 160 213 240 284 355 426 480 568 710 852 1065 1136 1420 1704 2130 2272 2840 3408 4260 5680 6816 8520 11360 17040 34080 57283 114566 171849 229132 286415 343698 458264 572830 687396 859245 916528 1145660 1374792 1718490 1833056 2291320 2749584 3436980 4067093 4582640 5499168 6873960 8134186 9165280 12201279 13747920 16268372 20335465 24402558 27495840 32536744 40670930 48805116 61006395 65073488 81341860 97610232 122012790 130146976 162683720 195220464 244025580 325367440 390440928 488051160 650734880 976102320 1952204640