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48764364 = 223111731701
BaseRepresentation
bin1011101000000…
…1010111001100
310101202111010120
42322001113030
544440424424
64501104540
71131330105
oct272012714
9111674116
1048764364
1125587430
12143b8150
13a144b6c
1466953ac
154433a79
hex2e815cc

48764364 has 96 divisors (see below), whose sum is σ = 135862272. Its totient is φ = 13440000.

The previous prime is 48764351. The next prime is 48764369. The reversal of 48764364 is 46346784.

It is not an unprimeable number, because it can be changed into a prime (48764369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69214 + ... + 69914.

It is an arithmetic number, because the mean of its divisors is an integer number (1415232).

Almost surely, 248764364 is an apocalyptic number.

48764364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48764364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67931136).

48764364 is an abundant number, since it is smaller than the sum of its proper divisors (87097908).

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

48764364 is a wasteful number, since it uses less digits than its factorization.

48764364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 765 counting only the distinct ones).

The product of its digits is 387072, while the sum is 42.

The square root of 48764364 is about 6983.1485735304. The cubic root of 48764364 is about 365.3430539649.

The spelling of 48764364 in words is "forty-eight million, seven hundred sixty-four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 17 22 31 33 34 44 51 62 66 68 93 102 124 132 186 187 204 341 372 374 527 561 682 701 748 1023 1054 1122 1364 1402 1581 2046 2103 2108 2244 2804 3162 4092 4206 5797 6324 7711 8412 11594 11917 15422 17391 21731 23133 23188 23834 30844 34782 35751 43462 46266 47668 65193 69564 71502 86924 92532 130386 131087 143004 239041 260772 262174 369427 393261 478082 524348 717123 738854 786522 956164 1108281 1434246 1477708 1573044 2216562 2868492 4063697 4433124 8127394 12191091 16254788 24382182 48764364