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74157468 = 223711174721
BaseRepresentation
bin1000110101110…
…00110110011100
312011112120220220
410122320312130
5122441014333
611205241340
71560220350
oct432706634
9164476826
1074157468
1138950670
1220a03250
1312495c78
149bc5460
15679c8b3
hex46b8d9c

74157468 has 96 divisors (see below), whose sum is σ = 228469248. Its totient is φ = 18124800.

The previous prime is 74157463. The next prime is 74157481. The reversal of 74157468 is 86475147.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74157463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13348 + ... + 18068.

It is an arithmetic number, because the mean of its divisors is an integer number (2379888).

Almost surely, 274157468 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 74157468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114234624).

74157468 is an abundant number, since it is smaller than the sum of its proper divisors (154311780).

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

74157468 is a wasteful number, since it uses less digits than its factorization.

74157468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4763 (or 4761 counting only the distinct ones).

The product of its digits is 188160, while the sum is 42.

The square root of 74157468 is about 8611.4730447235. The cubic root of 74157468 is about 420.1312288346.

The spelling of 74157468 in words is "seventy-four million, one hundred fifty-seven thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 17 21 22 28 33 34 42 44 51 66 68 77 84 102 119 132 154 187 204 231 238 308 357 374 462 476 561 714 748 924 1122 1309 1428 2244 2618 3927 4721 5236 7854 9442 14163 15708 18884 28326 33047 51931 56652 66094 80257 99141 103862 132188 155793 160514 198282 207724 240771 311586 321028 363517 396564 481542 561799 623172 727034 882827 963084 1090551 1123598 1454068 1685397 1765654 2181102 2247196 2648481 3370794 3531308 4362204 5296962 6179789 6741588 10593924 12359578 18539367 24719156 37078734 74157468