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1336925952 = 28331271523
BaseRepresentation
bin100111110101111…
…1101111100000000
310110011122212122000
41033223331330000
510214223112302
6340354544000
745062453205
oct11753757400
93404585560
101336925952
1162672928a
12313898000
13183c9655b
14c97b3cac
157c58631c
hex4fafdf00

1336925952 has 144 divisors (see below), whose sum is σ = 3987271680. Its totient is φ = 441842688.

The previous prime is 1336925923. The next prime is 1336925957. The reversal of 1336925952 is 2595296331.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×13369259522 = 3574742002262212608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1336925898 and 1336925907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1336925957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 877063 + ... + 878585.

Almost surely, 21336925952 is an apocalyptic number.

1336925952 is a gapful number since it is divisible by the number (12) 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 1336925952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1993635840).

1336925952 is an abundant number, since it is smaller than the sum of its proper divisors (2650345728).

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

1336925952 is a wasteful number, since it uses less digits than its factorization.

1336925952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675 (or 1655 counting only the distinct ones).

The product of its digits is 437400, while the sum is 45.

The square root of 1336925952 is about 36563.9980308500. The cubic root of 1336925952 is about 1101.6300768792.

The spelling of 1336925952 in words is "one billion, three hundred thirty-six million, nine hundred twenty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 127 128 144 192 216 254 256 288 381 384 432 508 576 762 768 864 1016 1143 1152 1523 1524 1728 2032 2286 2304 3046 3048 3429 3456 4064 4569 4572 6092 6096 6858 6912 8128 9138 9144 12184 12192 13707 13716 16256 18276 18288 24368 24384 27414 27432 32512 36552 36576 41121 48736 48768 54828 54864 73104 73152 82242 97472 97536 109656 109728 146208 146304 164484 193421 194944 219312 219456 292416 292608 328968 386842 389888 438624 438912 580263 584832 657936 773684 877248 877824 1160526 1169664 1315872 1547368 1740789 1754496 2321052 2631744 3094736 3481578 3508992 4642104 5222367 5263488 6189472 6963156 9284208 10444734 10526976 12378944 13926312 18568416 20889468 24757888 27852624 37136832 41778936 49515776 55705248 74273664 83557872 111410496 148547328 167115744 222820992 334231488 445641984 668462976 1336925952