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74441472 = 283761227
BaseRepresentation
bin1000110111111…
…10001100000000
312012002000111120
410123332030000
5123024111342
611215312240
71562512350
oct433761400
9165060446
1074441472
1139024a86
1220b1b680
1312565311
149c5ab60
156806aec
hex46fe300

74441472 has 144 divisors (see below), whose sum is σ = 231151872. Its totient is φ = 20828160.

The previous prime is 74441429. The next prime is 74441483. The reversal of 74441472 is 27414447.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

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, 327823 + ... + 328049.

Almost surely, 274441472 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 74441472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115575936).

74441472 is an abundant number, since it is smaller than the sum of its proper divisors (156710400).

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

74441472 is a wasteful number, since it uses less digits than its factorization.

74441472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 300 counting only the distinct ones).

The product of its digits is 25088, while the sum is 33.

The square root of 74441472 is about 8627.9471486559. The cubic root of 74441472 is about 420.6668770784. Note that the first 3 decimals are identical.

The spelling of 74441472 in words is "seventy-four million, four hundred forty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 64 84 96 112 122 128 168 183 192 224 227 244 256 336 366 384 427 448 454 488 672 681 732 768 854 896 908 976 1281 1344 1362 1464 1589 1708 1792 1816 1952 2562 2688 2724 2928 3178 3416 3632 3904 4767 5124 5376 5448 5856 6356 6832 7264 7808 9534 10248 10896 11712 12712 13664 13847 14528 15616 19068 20496 21792 23424 25424 27328 27694 29056 38136 40992 41541 43584 46848 50848 54656 55388 58112 76272 81984 83082 87168 96929 101696 109312 110776 152544 163968 166164 174336 193858 203392 221552 290787 305088 327936 332328 387716 406784 443104 581574 610176 664656 775432 886208 1163148 1220352 1329312 1550864 1772416 2326296 2658624 3101728 3544832 4652592 5317248 6203456 9305184 10634496 12406912 18610368 24813824 37220736 74441472