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1952013696 = 27313936571
BaseRepresentation
bin111010001011001…
…0101110110000000
312001001001120101120
41310112111312000
512444203414241
6521410232240
766241562013
oct16426256600
95031046346
101952013696
11911951866
12465885680
132515456b9
1414736737a
15b6584666
hex74595d80

1952013696 has 64 divisors (see below), whose sum is σ = 5222481600. Its totient is φ = 645972480.

The previous prime is 1952013677. The next prime is 1952013727. The reversal of 1952013696 is 6963102591.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35091 + ... + 71661.

It is an arithmetic number, because the mean of its divisors is an integer number (81601275).

Almost surely, 21952013696 is an apocalyptic number.

1952013696 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 1952013696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2611240800).

1952013696 is an abundant number, since it is smaller than the sum of its proper divisors (3270467904).

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

1952013696 is a wasteful number, since it uses less digits than its factorization.

1952013696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36727 (or 36715 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The square root of 1952013696 is about 44181.5990656744. The cubic root of 1952013696 is about 1249.7628768343.

The spelling of 1952013696 in words is "one billion, nine hundred fifty-two million, thirteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 139 192 278 384 417 556 834 1112 1668 2224 3336 4448 6672 8896 13344 17792 26688 36571 53376 73142 109713 146284 219426 292568 438852 585136 877704 1170272 1755408 2340544 3510816 4681088 5083369 7021632 10166738 14043264 15250107 20333476 30500214 40666952 61000428 81333904 122000856 162667808 244001712 325335616 488003424 650671232 976006848 1952013696