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48094080 = 273537677
BaseRepresentation
bin1011011101110…
…1101110000000
310100111102200020
42313131232000
544303002310
64434453440
71122535656
oct267355600
9110442606
1048094080
1125169881
1214134280
139c6ba48
14655cdd6
154350170
hex2dddb80

48094080 has 128 divisors (see below), whose sum is σ = 157675680. Its totient is φ = 12460032.

The previous prime is 48094061. The next prime is 48094091. The reversal of 48094080 is 8049084.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×480940803 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70702 + ... + 71378.

Almost surely, 248094080 is an apocalyptic number.

48094080 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 48094080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78837840).

48094080 is an abundant number, since it is smaller than the sum of its proper divisors (109581600).

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

48094080 is a wasteful number, since it uses less digits than its factorization.

48094080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 48094080 is about 6934.9895457744. The cubic root of 48094080 is about 363.6614007004.

It can be divided in two parts, 480 and 94080, that multiplied together give a square (45158400 = 67202).

The spelling of 48094080 in words is "forty-eight million, ninety-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 128 148 160 185 192 222 240 296 320 370 384 444 480 555 592 640 677 740 888 960 1110 1184 1354 1480 1776 1920 2031 2220 2368 2708 2960 3385 3552 4062 4440 4736 5416 5920 6770 7104 8124 8880 10155 10832 11840 13540 14208 16248 17760 20310 21664 23680 25049 27080 32496 35520 40620 43328 50098 54160 64992 71040 75147 81240 86656 100196 108320 125245 129984 150294 162480 200392 216640 250490 259968 300588 324960 375735 400784 433280 500980 601176 649920 751470 801568 1001960 1202352 1299840 1502940 1603136 2003920 2404704 3005880 3206272 4007840 4809408 6011760 8015680 9618816 12023520 16031360 24047040 48094080