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48231120 = 24357191511
BaseRepresentation
bin1011011111111…
…1001011010000
310100202101122210
42313333023100
544321343440
64441432120
71123646340
oct267771320
9110671583
1048231120
1125252833
121419b640
139cb9232
146596d20
15437aa80
hex2dff2d0

48231120 has 160 divisors (see below), whose sum is σ = 179988480. Its totient is φ = 10437120.

The previous prime is 48231119. The next prime is 48231149. The reversal of 48231120 is 2113284.

48231120 = 6652 + 6662 + ... + 7592.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 31165 + ... + 32675.

It is an arithmetic number, because the mean of its divisors is an integer number (1124928).

Almost surely, 248231120 is an apocalyptic number.

48231120 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 48231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89994240).

48231120 is an abundant number, since it is smaller than the sum of its proper divisors (131757360).

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

48231120 is a wasteful number, since it uses less digits than its factorization.

48231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 48231120 is about 6944.8628496177. The cubic root of 48231120 is about 364.0064805834.

The spelling of 48231120 in words is "forty-eight million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 28 30 35 38 40 42 48 56 57 60 70 76 80 84 95 105 112 114 120 133 140 152 168 190 210 228 240 266 280 285 304 336 380 399 420 456 532 560 570 665 760 798 840 912 1064 1140 1330 1511 1520 1596 1680 1995 2128 2280 2660 3022 3192 3990 4533 4560 5320 6044 6384 7555 7980 9066 10577 10640 12088 15110 15960 18132 21154 22665 24176 28709 30220 31731 31920 36264 42308 45330 52885 57418 60440 63462 72528 84616 86127 90660 105770 114836 120880 126924 143545 158655 169232 172254 181320 200963 211540 229672 253848 287090 317310 344508 362640 401926 423080 430635 459344 507696 574180 602889 634620 689016 803852 846160 861270 1004815 1148360 1205778 1269240 1378032 1607704 1722540 2009630 2296720 2411556 2538480 3014445 3215408 3445080 4019260 4823112 6028890 6890160 8038520 9646224 12057780 16077040 24115560 48231120