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74420928 = 2632472749
BaseRepresentation
bin1000110111110…
…01001011000000
312012000222022200
410123321023000
5123022432203
611215033200
71562365431
oct433711300
9165028280
1074420928
11390105aa
1220b0b800
1312558b6a
149c53488
1568009a3
hex46f92c0

74420928 has 84 divisors (see below), whose sum is σ = 217932000. Its totient is φ = 24270336.

The previous prime is 74420897. The next prime is 74420953. The reversal of 74420928 is 82902447.

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

It is a junction number, because it is equal to n+sod(n) for n = 74420892 and 74420901.

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, 25698 + ... + 28446.

It is a vampire number, since it can be written as 82479024 (with its own digits).

Almost surely, 274420928 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 74420928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108966000).

74420928 is an abundant number, since it is smaller than the sum of its proper divisors (143511072).

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

74420928 is a wasteful number, since it uses less digits than its factorization.

74420928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2814 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 74420928 is about 8626.7565167912. The cubic root of 74420928 is about 420.6281756430.

The spelling of 74420928 in words is "seventy-four million, four hundred twenty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 141 144 188 192 282 288 376 423 564 576 752 846 1128 1504 1692 2256 2749 3008 3384 4512 5498 6768 8247 9024 10996 13536 16494 21992 24741 27072 32988 43984 49482 65976 87968 98964 129203 131952 175936 197928 258406 263904 387609 395856 516812 527808 775218 791712 1033624 1162827 1550436 1583424 2067248 2325654 3100872 4134496 4651308 6201744 8268992 9302616 12403488 18605232 24806976 37210464 74420928