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2974048 = 257111771
BaseRepresentation
bin1011010110000101100000
312121002121221
423112011200
51230132143
6143424424
734164460
oct13260540
95532557
102974048
1117514a0
12bb5114
138018bc
14575ba0
153db2ed
hex2d6160

2974048 has 96 divisors (see below), whose sum is σ = 7838208. Its totient is φ = 1075200.

The previous prime is 2974033. The next prime is 2974057. The reversal of 2974048 is 8404792.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 41853 + ... + 41923.

It is an arithmetic number, because the mean of its divisors is an integer number (81648).

22974048 is an apocalyptic number.

2974048 is a gapful number since it is divisible by the number (28) 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 2974048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3919104).

2974048 is an abundant number, since it is smaller than the sum of its proper divisors (4864160).

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

2974048 is a wasteful number, since it uses less digits than its factorization.

2974048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 2974048 is about 1724.5428379718. The cubic root of 2974048 is about 143.8078713428.

The spelling of 2974048 in words is "two million, nine hundred seventy-four thousand, forty-eight".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 56 68 71 77 88 112 119 136 142 154 176 187 224 238 272 284 308 352 374 476 497 544 568 616 748 781 952 994 1136 1207 1232 1309 1496 1562 1904 1988 2272 2414 2464 2618 2992 3124 3808 3976 4828 5236 5467 5984 6248 7952 8449 9656 10472 10934 12496 13277 15904 16898 19312 20944 21868 24992 26554 33796 38624 41888 43736 53108 67592 87472 92939 106216 135184 174944 185878 212432 270368 371756 424864 743512 1487024 2974048