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53670276 = 2234112372
BaseRepresentation
bin1100110010111…
…1000110000100
310201222201210000
43030233012010
5102214422101
65154201300
71221122052
oct314570604
9121881700
1053670276
1128328300
1215b83230
13b171b7a
1471b11d2
154aa2486
hex332f184

53670276 has 135 divisors (see below), whose sum is σ = 158499957. Its totient is φ = 15824160.

The previous prime is 53670259. The next prime is 53670277. The reversal of 53670276 is 67207635.

It is a happy number.

The square root of 53670276 is 7326.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 48024900 + 5645376 = 6930^2 + 2376^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 53670276.

It is not an unprimeable number, because it can be changed into a prime (53670277) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1450530 + ... + 1450566.

Almost surely, 253670276 is an apocalyptic number.

53670276 is the 7326-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53670276

53670276 is an abundant number, since it is smaller than the sum of its proper divisors (104829681).

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

53670276 is a wasteful number, since it uses less digits than its factorization.

53670276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The cubic root of 53670276 is about 377.2054360443.

Multiplying 53670276 by its sum of digits (36), we get a square (1932129936 = 439562).

53670276 divided by its sum of digits (36) gives a square (1490841 = 12212).

The spelling of 53670276 in words is "fifty-three million, six hundred seventy thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 37 44 54 66 74 81 99 108 111 121 132 148 162 198 222 242 297 324 333 363 396 407 444 484 594 666 726 814 891 999 1089 1188 1221 1332 1369 1452 1628 1782 1998 2178 2442 2738 2997 3267 3564 3663 3996 4107 4356 4477 4884 5476 5994 6534 7326 8214 8954 9801 10989 11988 12321 13068 13431 14652 15059 16428 17908 19602 21978 24642 26862 30118 32967 36963 39204 40293 43956 45177 49284 53724 60236 65934 73926 80586 90354 110889 120879 131868 135531 147852 161172 165649 180708 221778 241758 271062 331298 362637 406593 443556 483516 496947 542124 662596 725274 813186 993894 1219779 1450548 1490841 1626372 1987788 2439558 2981682 4472523 4879116 5963364 8945046 13417569 17890092 26835138 53670276