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48641976 = 23321931237
BaseRepresentation
bin1011100110001…
…1011110111000
310101112021020200
42321203132320
544423020401
64454322200
71130310225
oct271433670
9111467220
1048641976
1125503489
1214359360
13a101246
14666294c
15440c686
hex2e637b8

48641976 has 144 divisors (see below), whose sum is σ = 147162600. Its totient is φ = 14463360.

The previous prime is 48641927. The next prime is 48641977. The reversal of 48641976 is 67914684.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48641977) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1314630 + ... + 1314666.

Almost surely, 248641976 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 48641976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73581300).

48641976 is an abundant number, since it is smaller than the sum of its proper divisors (98520624).

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

48641976 is a wasteful number, since it uses less digits than its factorization.

48641976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 92 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 48641976 is about 6974.3799724420. The cubic root of 48641976 is about 365.0371539085.

The spelling of 48641976 in words is "forty-eight million, six hundred forty-one thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 31 36 37 38 57 62 72 74 76 93 111 114 124 148 152 171 186 222 228 248 279 296 333 342 372 444 456 558 589 666 684 703 744 888 961 1116 1147 1178 1332 1368 1406 1767 1922 2109 2232 2294 2356 2664 2812 2883 3441 3534 3844 4218 4588 4712 5301 5624 5766 6327 6882 7068 7688 8436 8649 9176 10323 10602 11532 12654 13764 14136 16872 17298 18259 20646 21204 21793 23064 25308 27528 34596 35557 36518 41292 42408 43586 50616 54777 65379 69192 71114 73036 82584 87172 106671 109554 130758 142228 146072 164331 174344 196137 213342 219108 261516 284456 320013 328662 392274 426684 438216 523032 640026 657324 675583 784548 853368 1280052 1314648 1351166 1569096 2026749 2560104 2702332 4053498 5404664 6080247 8106996 12160494 16213992 24320988 48641976