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48657972 = 223112233147
BaseRepresentation
bin1011100110011…
…1011000110100
310101120002012010
42321213120310
544424023342
64454524220
71130404656
oct271473064
9111502163
1048657972
1125514500
1214366670
13a1085cc
1466686d6
15441229c
hex2e67634

48657972 has 144 divisors (see below), whose sum is σ = 137281536. Its totient is φ = 13358400.

The previous prime is 48657971. The next prime is 48658009. The reversal of 48657972 is 27975684.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48657971) 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, 1035253 + ... + 1035299.

It is an arithmetic number, because the mean of its divisors is an integer number (953344).

Almost surely, 248657972 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 48657972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68640768).

48657972 is an abundant number, since it is smaller than the sum of its proper divisors (88623564).

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

48657972 is a wasteful number, since it uses less digits than its factorization.

48657972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 117 counting only the distinct ones).

The product of its digits is 846720, while the sum is 48.

The square root of 48657972 is about 6975.5266467845. The cubic root of 48657972 is about 365.0771638947.

The spelling of 48657972 in words is "forty-eight million, six hundred fifty-seven thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 23 31 33 44 46 47 62 66 69 92 93 94 121 124 132 138 141 186 188 242 253 276 282 341 363 372 484 506 517 564 682 713 726 759 1012 1023 1034 1081 1364 1426 1452 1457 1518 1551 2046 2068 2139 2162 2783 2852 2914 3036 3102 3243 3751 4092 4278 4324 4371 5566 5687 5828 6204 6486 7502 7843 8349 8556 8742 11132 11253 11374 11891 12972 15004 15686 16027 16698 17061 17484 22506 22748 23529 23782 31372 32054 33396 33511 34122 35673 45012 47058 47564 48081 64108 67022 68244 71346 86273 94116 96162 100533 130801 134044 142692 172546 176297 192324 201066 258819 261602 345092 352594 368621 392403 402132 517638 523204 528891 705188 737242 784806 1035276 1057782 1105863 1474484 1569612 2115564 2211726 4054831 4423452 8109662 12164493 16219324 24328986 48657972