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53922672 = 24372367
BaseRepresentation
bin1100110110110…
…0101101110000
310202110120000000
43031230231300
5102301011142
65203430000
71223222646
oct315545560
9122416000
1053922672
112848a9a1
1216085300
13b22ca0b
147239196
154b0214c
hex336cb70

53922672 has 160 divisors (see below), whose sum is σ = 165941760. Its totient is φ = 16936128.

The previous prime is 53922647. The next prime is 53922689. The reversal of 53922672 is 27622935.

53922672 is a `hidden beast` number, since 5 + 392 + 267 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 804783 + ... + 804849.

It is an arithmetic number, because the mean of its divisors is an integer number (1037136).

Almost surely, 253922672 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 53922672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82970880).

53922672 is an abundant number, since it is smaller than the sum of its proper divisors (112019088).

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

53922672 is an equidigital number, since it uses as much as digits as its factorization.

53922672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 95 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 53922672 is about 7343.2058394137. The cubic root of 53922672 is about 377.7958080847.

The spelling of 53922672 in words is "fifty-three million, nine hundred twenty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 67 69 72 81 92 108 134 138 144 162 184 201 207 216 243 268 276 324 368 402 414 432 486 536 552 603 621 648 729 804 828 972 1072 1104 1206 1242 1296 1458 1541 1608 1656 1809 1863 1944 2187 2412 2484 2916 3082 3216 3312 3618 3726 3888 4374 4623 4824 4968 5427 5589 5832 6164 7236 7452 8748 9246 9648 9936 10854 11178 11664 12328 13869 14472 14904 16281 16767 17496 18492 21708 22356 24656 27738 28944 29808 32562 33534 34992 36984 41607 43416 44712 48843 50301 55476 65124 67068 73968 83214 86832 89424 97686 100602 110952 124821 130248 134136 146529 166428 195372 201204 221904 249642 260496 268272 293058 332856 374463 390744 402408 499284 586116 665712 748926 781488 804816 998568 1123389 1172232 1497852 1997136 2246778 2344464 2995704 3370167 4493556 5991408 6740334 8987112 13480668 17974224 26961336 53922672