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40074048 = 263373313
BaseRepresentation
bin1001100011011…
…1101101000000
32210101222021000
42120313231000
540224332143
63550532000
7664423650
oct230675500
983358230
1040074048
1120691253
1211507000
1383c1471
145472360
1537b8bd3
hex2637b40

40074048 has 112 divisors (see below), whose sum is σ = 134680960. Its totient is φ = 11446272.

The previous prime is 40074031. The next prime is 40074053. The reversal of 40074048 is 84047004.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 10440 + ... + 13752.

Almost surely, 240074048 is an apocalyptic number.

40074048 is a gapful number since it is divisible by the number (48) 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 40074048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67340480).

40074048 is an abundant number, since it is smaller than the sum of its proper divisors (94606912).

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

40074048 is a wasteful number, since it uses less digits than its factorization.

40074048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3341 (or 3325 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 40074048 is about 6330.4066220109. The cubic root of 40074048 is about 342.2060930787.

The spelling of 40074048 in words is "forty million, seventy-four thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 3313 4032 6048 6626 9939 12096 13252 19878 23191 26504 29817 39756 46382 53008 59634 69573 79512 89451 92764 106016 119268 139146 159024 178902 185528 208719 212032 238536 278292 318048 357804 371056 417438 477072 556584 626157 636096 715608 742112 834876 954144 1113168 1252314 1431216 1484224 1669752 1908288 2226336 2504628 2862432 3339504 4452672 5009256 5724864 6679008 10018512 13358016 20037024 40074048