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48915480 = 23352337479
BaseRepresentation
bin1011101010011…
…0010000011000
310102001011102110
42322212100120
5100010243410
64504232320
71132526505
oct272462030
9112034373
1048915480
112567aa19
121446b6a0
13a198893
1466d44ac
154463720
hex2ea6418

48915480 has 128 divisors (see below), whose sum is σ = 157593600. Its totient is φ = 12114432.

The previous prime is 48915463. The next prime is 48915499. The reversal of 48915480 is 8451984.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101881 + ... + 102359.

It is an arithmetic number, because the mean of its divisors is an integer number (1231200).

Almost surely, 248915480 is an apocalyptic number.

48915480 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 48915480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78796800).

48915480 is an abundant number, since it is smaller than the sum of its proper divisors (108678120).

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

48915480 is a wasteful number, since it uses less digits than its factorization.

48915480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 48915480 is about 6993.9602515313. The cubic root of 48915480 is about 365.7200522830.

The spelling of 48915480 in words is "forty-eight million, nine hundred fifteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 37 40 46 60 69 74 92 111 115 120 138 148 184 185 222 230 276 296 345 370 444 460 479 552 555 690 740 851 888 920 958 1110 1380 1437 1480 1702 1916 2220 2395 2553 2760 2874 3404 3832 4255 4440 4790 5106 5748 6808 7185 8510 9580 10212 11017 11496 12765 14370 17020 17723 19160 20424 22034 25530 28740 33051 34040 35446 44068 51060 53169 55085 57480 66102 70892 88136 88615 102120 106338 110170 132204 141784 165255 177230 212676 220340 264408 265845 330510 354460 407629 425352 440680 531690 661020 708920 815258 1063380 1222887 1322040 1630516 2038145 2126760 2445774 3261032 4076290 4891548 6114435 8152580 9783096 12228870 16305160 24457740 48915480