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53531928 = 233667137
BaseRepresentation
bin1100110000110…
…1010100011000
310201201201000000
43030031110120
5102201010203
65151213000
71220004522
oct314152430
9121651000
1053531928
112824336a
1215b17160
13b123bc8
147176a12
154a764a3
hex330d518

53531928 has 112 divisors (see below), whose sum is σ = 153850680. Its totient is φ = 17449344.

The previous prime is 53531893. The next prime is 53531957. The reversal of 53531928 is 82913535.

53531928 is a `hidden beast` number, since 535 + 31 + 92 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 53531892 and 53531901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 390676 + ... + 390812.

Almost surely, 253531928 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 53531928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76925340).

53531928 is an abundant number, since it is smaller than the sum of its proper divisors (100318752).

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

53531928 is a wasteful number, since it uses less digits than its factorization.

53531928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 209 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 53531928 is about 7316.5516467801. The cubic root of 53531928 is about 376.8810446792.

The spelling of 53531928 in words is "fifty-three million, five hundred thirty-one thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 81 108 134 137 162 201 216 243 268 274 324 402 411 486 536 548 603 648 729 804 822 972 1096 1206 1233 1458 1608 1644 1809 1944 2412 2466 2916 3288 3618 3699 4824 4932 5427 5832 7236 7398 9179 9864 10854 11097 14472 14796 16281 18358 21708 22194 27537 29592 32562 33291 36716 43416 44388 48843 55074 65124 66582 73432 82611 88776 97686 99873 110148 130248 133164 165222 195372 199746 220296 247833 266328 330444 390744 399492 495666 660888 743499 798984 991332 1486998 1982664 2230497 2973996 4460994 5947992 6691491 8921988 13382982 17843976 26765964 53531928