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49874760 = 233251310657
BaseRepresentation
bin1011111001000…
…0011101001000
310110211220022100
42332100131020
5100231443020
64540553400
71143633315
oct276203510
9113756270
1049874760
1126175711
1214852860
13a4433c0
1468a3d0c
1545a2a90
hex2f90748

49874760 has 96 divisors (see below), whose sum is σ = 174578040. Its totient is φ = 12275712.

The previous prime is 49874743. The next prime is 49874767. The reversal of 49874760 is 6747894.

It can be written as a sum of positive squares in 4 ways, for example, as 17589636 + 32285124 = 4194^2 + 5682^2 .

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

It is not an unprimeable number, because it can be changed into a prime (49874767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 649 + ... + 10008.

Almost surely, 249874760 is an apocalyptic number.

49874760 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 49874760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87289020).

49874760 is an abundant number, since it is smaller than the sum of its proper divisors (124703280).

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

49874760 is a wasteful number, since it uses less digits than its factorization.

49874760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10687 (or 10680 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 49874760 is about 7062.2064540765. The cubic root of 49874760 is about 368.0953006173.

The spelling of 49874760 in words is "forty-nine million, eight hundred seventy-four thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 10657 21314 31971 42628 53285 63942 85256 95913 106570 127884 138541 159855 191826 213140 255768 277082 319710 383652 415623 426280 479565 554164 639420 692705 767304 831246 959130 1108328 1246869 1278840 1385410 1662492 1918260 2078115 2493738 2770820 3324984 3836520 4156230 4987476 5541640 6234345 8312460 9974952 12468690 16624920 24937380 49874760