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74407424 = 297131597
BaseRepresentation
bin1000110111101…
…01111000000000
312012000021210112
410123311320000
5123022014144
611214450452
71562311160
oct433657000
9165007715
1074407424
1139001443
1220b03a28
1312552980
149c4c5a0
1567eb99e
hex46f5e00

74407424 has 80 divisors (see below), whose sum is σ = 183092448. Its totient is φ = 29417472.

The previous prime is 74407393. The next prime is 74407429. The reversal of 74407424 is 42470447.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74407429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45794 + ... + 47390.

Almost surely, 274407424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74407424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91546224).

74407424 is an abundant number, since it is smaller than the sum of its proper divisors (108685024).

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

74407424 is a wasteful number, since it uses less digits than its factorization.

74407424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 32.

The square root of 74407424 is about 8625.9738000993. The cubic root of 74407424 is about 420.6027325020.

74407424 divided by its sum of digits (32) gives a palindrome (2325232).

The spelling of 74407424 in words is "seventy-four million, four hundred seven thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 512 728 832 896 1456 1597 1664 1792 2912 3194 3328 3584 5824 6388 6656 11179 11648 12776 20761 22358 23296 25552 41522 44716 46592 51104 83044 89432 102208 145327 166088 178864 204416 290654 332176 357728 408832 581308 664352 715456 817664 1162616 1328704 1430912 2325232 2657408 2861824 4650464 5314816 5723648 9300928 10629632 18601856 37203712 74407424