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49374720 = 293252143
BaseRepresentation
bin1011110001011…
…0011000000000
310102220111101100
42330112120000
5100114442340
64522134400
71136451423
oct274263000
9112814340
1049374720
1125963a5a
1214651400
13a2c9915
1467b39ba
154504830
hex2f16600

49374720 has 120 divisors (see below), whose sum is σ = 171078336. Its totient is φ = 13160448.

The previous prime is 49374713. The next prime is 49374739. The reversal of 49374720 is 2747394.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21969 + ... + 24111.

Almost surely, 249374720 is an apocalyptic number.

49374720 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 49374720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85539168).

49374720 is an abundant number, since it is smaller than the sum of its proper divisors (121703616).

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

49374720 is a wasteful number, since it uses less digits than its factorization.

49374720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2172 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 49374720 is about 7026.7147373435. The cubic root of 49374720 is about 366.8610025839.

The spelling of 49374720 in words is "forty-nine million, three hundred seventy-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2143 2304 2560 2880 3840 4286 4608 5760 6429 7680 8572 10715 11520 12858 17144 19287 21430 23040 25716 32145 34288 38574 42860 51432 64290 68576 77148 85720 96435 102864 128580 137152 154296 171440 192870 205728 257160 274304 308592 342880 385740 411456 514320 548608 617184 685760 771480 822912 1028640 1097216 1234368 1371520 1542960 1645824 2057280 2468736 2743040 3085920 3291648 4114560 4937472 5486080 6171840 8229120 9874944 12343680 16458240 24687360 49374720