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53493696 = 263417607
BaseRepresentation
bin1100110000001…
…1111111000000
310201122202120000
43030003333000
5102143244241
65150320000
71216455204
oct314037700
9121582500
1053493696
1128217673
1215ab9000
13b10c699
147166b04
154a69eb6
hex3303fc0

53493696 has 140 divisors (see below), whose sum is σ = 168176448. Its totient is φ = 16754688.

The previous prime is 53493659. The next prime is 53493703. The reversal of 53493696 is 69639435.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (524880) is a multiple of the sum of its prime factors (648).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 87825 + ... + 88431.

Almost surely, 253493696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53493696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84088224).

53493696 is an abundant number, since it is smaller than the sum of its proper divisors (114682752).

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

53493696 is a wasteful number, since it uses less digits than its factorization.

53493696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 629 counting only the distinct ones).

The product of its digits is 524880, while the sum is 45.

The square root of 53493696 is about 7313.9384739004. The cubic root of 53493696 is about 376.7913016776.

It can be divided in two parts, 5349 and 3696, that added together give a triangular number (9045 = T134).

The spelling of 53493696 in words is "fifty-three million, four hundred ninety-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 136 144 153 162 192 204 216 272 288 306 324 408 432 459 544 576 607 612 648 816 864 918 1088 1214 1224 1296 1377 1632 1728 1821 1836 2428 2448 2592 2754 3264 3642 3672 4856 4896 5184 5463 5508 7284 7344 9712 9792 10319 10926 11016 14568 14688 16389 19424 20638 21852 22032 29136 29376 30957 32778 38848 41276 43704 44064 49167 58272 61914 65556 82552 87408 88128 92871 98334 116544 123828 131112 165104 174816 185742 196668 247656 262224 278613 330208 349632 371484 393336 495312 524448 557226 660416 742968 786672 835839 990624 1048896 1114452 1485936 1573344 1671678 1981248 2228904 2971872 3146688 3343356 4457808 5943744 6686712 8915616 13373424 17831232 26746848 53493696