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53415960 = 23351397353
BaseRepresentation
bin1100101111000…
…1000000011000
310201111210220220
43023301000120
5102133302320
65144520040
71216012443
oct313610030
9121453826
1053415960
1128174224
1215a80020
13b0b31a0
14714665a
154a51e40
hex32f1018

53415960 has 128 divisors (see below), whose sum is σ = 174847680. Its totient is φ = 12976128.

The previous prime is 53415937. The next prime is 53415961. The reversal of 53415960 is 6951435.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53415961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151144 + ... + 151496.

Almost surely, 253415960 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 53415960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87423840).

53415960 is an abundant number, since it is smaller than the sum of its proper divisors (121431720).

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

53415960 is a wasteful number, since it uses less digits than its factorization.

53415960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 53415960 is about 7308.6223051954. The cubic root of 53415960 is about 376.6086979299.

The spelling of 53415960 in words is "fifty-three million, four hundred fifteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 97 104 120 130 156 194 195 260 291 312 353 388 390 485 520 582 706 776 780 970 1059 1164 1261 1412 1455 1560 1765 1940 2118 2328 2522 2824 2910 3530 3783 3880 4236 4589 5044 5295 5820 6305 7060 7566 8472 9178 10088 10590 11640 12610 13767 14120 15132 18356 18915 21180 22945 25220 27534 30264 34241 36712 37830 42360 45890 50440 55068 68482 68835 75660 91780 102723 110136 136964 137670 151320 171205 183560 205446 273928 275340 342410 410892 445133 513615 550680 684820 821784 890266 1027230 1335399 1369640 1780532 2054460 2225665 2670798 3561064 4108920 4451330 5341596 6676995 8902660 10683192 13353990 17805320 26707980 53415960