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48063920 = 24519103307
BaseRepresentation
bin1011011101011…
…0010110110000
310100102220022012
42313112112300
544301021140
64434102052
71122352022
oct267262660
9110386265
1048063920
1125149153
121411a928
139c5b0b8
146552012
154346265
hex2dd65b0

48063920 has 80 divisors (see below), whose sum is σ = 119159040. Its totient is φ = 17978112.

The previous prime is 48063907. The next prime is 48063923. The reversal of 48063920 is 2936084.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×480639203 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (48063923) 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, 156407 + ... + 156713.

It is an arithmetic number, because the mean of its divisors is an integer number (1489488).

Almost surely, 248063920 is an apocalyptic number.

48063920 is a gapful number since it is divisible by the number (40) 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 48063920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59579520).

48063920 is an abundant number, since it is smaller than the sum of its proper divisors (71095120).

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

48063920 is a wasteful number, since it uses less digits than its factorization.

48063920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 48063920 is about 6932.8147241939. The cubic root of 48063920 is about 363.5853669394.

The spelling of 48063920 in words is "forty-eight million, sixty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 103 152 190 206 304 307 380 412 515 614 760 824 1030 1228 1520 1535 1648 1957 2060 2456 3070 3914 4120 4912 5833 6140 7828 8240 9785 11666 12280 15656 19570 23332 24560 29165 31312 31621 39140 46664 58330 63242 78280 93328 116660 126484 156560 158105 233320 252968 316210 466640 505936 600799 632420 1201598 1264840 2403196 2529680 3003995 4806392 6007990 9612784 12015980 24031960 48063920