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48976920 = 23335101449
BaseRepresentation
bin1011101011010…
…1010000011000
310102011021201000
42322311100120
5100014230140
64505425000
71133203566
oct272652030
9112137630
1048976920
11257120a3
121449b160
13a1ba835
14670ca36
154476a30
hex2eb5418

48976920 has 128 divisors (see below), whose sum is σ = 165240000. Its totient is φ = 12902400.

The previous prime is 48976909. The next prime is 48976943. The reversal of 48976920 is 2967984.

It is a happy number.

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, 108856 + ... + 109304.

Almost surely, 248976920 is an apocalyptic number.

48976920 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 48976920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82620000).

48976920 is an abundant number, since it is smaller than the sum of its proper divisors (116263080).

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

48976920 is a wasteful number, since it uses less digits than its factorization.

48976920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 48976920 is about 6998.3512343980. The cubic root of 48976920 is about 365.8731083904.

The spelling of 48976920 in words is "forty-eight million, nine hundred seventy-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 101 108 120 135 180 202 216 270 303 360 404 449 505 540 606 808 898 909 1010 1080 1212 1347 1515 1796 1818 2020 2245 2424 2694 2727 3030 3592 3636 4040 4041 4490 4545 5388 5454 6060 6735 7272 8082 8980 9090 10776 10908 12120 12123 13470 13635 16164 17960 18180 20205 21816 24246 26940 27270 32328 36360 40410 45349 48492 53880 54540 60615 80820 90698 96984 109080 121230 136047 161640 181396 226745 242460 272094 362792 408141 453490 484920 544188 680235 816282 906980 1088376 1224423 1360470 1632564 1813960 2040705 2448846 2720940 3265128 4081410 4897692 5441880 6122115 8162820 9795384 12244230 16325640 24488460 48976920