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48990960 = 2433537613
BaseRepresentation
bin1011101011100…
…0101011110000
310102011222222000
42322320223300
5100020202320
64510014000
71133262534
oct272705360
9112158860
1048990960
11257216a7
12144a7300
13a1c4045
146713bc4
15447ac90
hex2eb8af0

48990960 has 160 divisors (see below), whose sum is σ = 173590080. Its totient is φ = 12690432.

The previous prime is 48990901. The next prime is 48990973. The reversal of 48990960 is 6909984.

It is a super-2 number, since 2×489909602 = 4800228323443200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79614 + ... + 80226.

It is an arithmetic number, because the mean of its divisors is an integer number (1084938).

Almost surely, 248990960 is an apocalyptic number.

48990960 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 48990960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86795040).

48990960 is an abundant number, since it is smaller than the sum of its proper divisors (124599120).

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

48990960 is a wasteful number, since it uses less digits than its factorization.

48990960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 48990960 is about 6999.3542559296. The cubic root of 48990960 is about 365.9080661328.

The spelling of 48990960 in words is "forty-eight million, nine hundred ninety thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 37 40 45 48 54 60 72 74 80 90 108 111 120 135 144 148 180 185 216 222 240 270 296 333 360 370 432 444 540 555 592 613 666 720 740 888 999 1080 1110 1226 1332 1480 1665 1776 1839 1998 2160 2220 2452 2664 2960 3065 3330 3678 3996 4440 4904 4995 5328 5517 6130 6660 7356 7992 8880 9195 9808 9990 11034 12260 13320 14712 15984 16551 18390 19980 22068 22681 24520 26640 27585 29424 33102 36780 39960 44136 45362 49040 55170 66204 68043 73560 79920 82755 88272 90724 110340 113405 132408 136086 147120 165510 181448 204129 220680 226810 264816 272172 331020 340215 362896 408258 441360 453620 544344 612387 662040 680430 816516 907240 1020645 1088688 1224774 1324080 1360860 1633032 1814480 2041290 2449548 2721720 3061935 3266064 4082580 4899096 5443440 6123870 8165160 9798192 12247740 16330320 24495480 48990960