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48110016 = 2633159137
BaseRepresentation
bin1011011110000…
…1100111000000
310100112020112110
42313201213000
544304010031
64435055320
71122633303
oct267414700
9110466473
1048110016
112517a849
1214141540
139c76086
146564b3a
154354c46
hex2de19c0

48110016 has 112 divisors (see below), whose sum is σ = 134599680. Its totient is φ = 15144960.

The previous prime is 48110011. The next prime is 48110021. The reversal of 48110016 is 61001184.

It is an interprime number because it is at equal distance from previous prime (48110011) and next prime (48110021).

It is a junction number, because it is equal to n+sod(n) for n = 48109974 and 48110001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48110011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351100 + ... + 351236.

Almost surely, 248110016 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 48110016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67299840).

48110016 is an abundant number, since it is smaller than the sum of its proper divisors (86489664).

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

48110016 is a wasteful number, since it uses less digits than its factorization.

48110016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 48110016 is about 6936.1384069236. The cubic root of 48110016 is about 363.7015627335.

The spelling of 48110016 in words is "forty-eight million, one hundred ten thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 59 62 64 93 96 118 124 137 177 186 192 236 248 274 354 372 411 472 496 548 708 744 822 944 992 1096 1416 1488 1644 1829 1888 1984 2192 2832 2976 3288 3658 3776 4247 4384 5487 5664 5952 6576 7316 8083 8494 8768 10974 11328 12741 13152 14632 16166 16988 21948 24249 25482 26304 29264 32332 33976 43896 48498 50964 58528 64664 67952 87792 96996 101928 117056 129328 135904 175584 193992 203856 250573 258656 271808 351168 387984 407712 501146 517312 751719 775968 815424 1002292 1503438 1551936 2004584 3006876 4009168 6013752 8018336 12027504 16036672 24055008 48110016