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64737972 = 2232131779103
BaseRepresentation
bin1111011011110…
…1001010110100
311111211000210200
43312331022310
5113033103342
610231320500
71414156305
oct366751264
9144730720
1064737972
11335a7662
1219820130
13105486c0
1488527ac
155a3b94c
hex3dbd2b4

64737972 has 144 divisors (see below), whose sum is σ = 190794240. Its totient is φ = 18330624.

The previous prime is 64737971. The next prime is 64737979. The reversal of 64737972 is 27973746.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64737971) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 628473 + ... + 628575.

It is an arithmetic number, because the mean of its divisors is an integer number (1324960).

Almost surely, 264737972 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 64737972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95397120).

64737972 is an abundant number, since it is smaller than the sum of its proper divisors (126056268).

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

64737972 is a wasteful number, since it uses less digits than its factorization.

64737972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 217 counting only the distinct ones).

The product of its digits is 444528, while the sum is 45.

The square root of 64737972 is about 8045.9910514492. The cubic root of 64737972 is about 401.5315699160.

The spelling of 64737972 in words is "sixty-four million, seven hundred thirty-seven thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 79 102 103 117 153 156 158 204 206 221 234 237 306 309 316 412 442 468 474 612 618 663 711 884 927 948 1027 1236 1326 1339 1343 1422 1751 1854 1989 2054 2652 2678 2686 2844 3081 3502 3708 3978 4017 4029 4108 5253 5356 5372 6162 7004 7956 8034 8058 8137 9243 10506 12051 12087 12324 15759 16068 16116 16274 17459 18486 21012 22763 24102 24174 24411 31518 32548 34918 36972 45526 48204 48348 48822 52377 63036 68289 69836 73233 91052 97644 104754 105781 136578 138329 146466 157131 204867 209508 211562 273156 276658 292932 314262 317343 409734 414987 423124 553316 628524 634686 819468 829974 952029 1244961 1269372 1659948 1798277 1904058 2489922 3596554 3808116 4979844 5394831 7193108 10789662 16184493 21579324 32368986 64737972