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74404152 = 233219137397
BaseRepresentation
bin1000110111101…
…01000100111000
312012000010022100
410123311010320
5123021413102
611214423400
71562265504
oct433650470
9165003270
1074404152
1138aa9a39
1220b01b60
1312551334
149c4b304
1567eaa1c
hex46f5138

74404152 has 96 divisors (see below), whose sum is σ = 214203600. Its totient is φ = 23265792.

The previous prime is 74404129. The next prime is 74404157. The reversal of 74404152 is 25140447.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74404157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187218 + ... + 187614.

Almost surely, 274404152 is an apocalyptic number.

74404152 is a gapful number since it is divisible by the number (72) 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 74404152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107101800).

74404152 is an abundant number, since it is smaller than the sum of its proper divisors (139799448).

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

74404152 is a wasteful number, since it uses less digits than its factorization.

74404152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 74404152 is about 8625.7841382682. The cubic root of 74404152 is about 420.5965672019.

Adding to 74404152 its reverse (25140447), we get a palindrome (99544599).

The spelling of 74404152 in words is "seventy-four million, four hundred four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 137 152 171 228 274 342 397 411 456 548 684 794 822 1096 1191 1233 1368 1588 1644 2382 2466 2603 3176 3288 3573 4764 4932 5206 7146 7543 7809 9528 9864 10412 14292 15086 15618 20824 22629 23427 28584 30172 31236 45258 46854 54389 60344 62472 67887 90516 93708 108778 135774 163167 181032 187416 217556 271548 326334 435112 489501 543096 652668 979002 1033391 1305336 1958004 2066782 3100173 3916008 4133564 6200346 8267128 9300519 12400692 18601038 24801384 37202076 74404152