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74981376 = 21334113
BaseRepresentation
bin1000111100000…
…10000000000000
312020002110010000
410132002000000
5123143401001
611235040000
71600221411
oct436020000
9166073100
1074981376
1139363688
1221140000
13126c3ca2
149d5b808
1568b1a86
hex4782000

74981376 has 140 divisors (see below), whose sum is σ = 225987102. Its totient is φ = 24772608.

The previous prime is 74981371. The next prime is 74981377. The reversal of 74981376 is 67318947.

It can be written as a sum of positive squares in only one way, i.e., 74649600 + 331776 = 8640^2 + 576^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74981371) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 663496 + ... + 663608.

Almost surely, 274981376 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 74981376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112993551).

74981376 is an abundant number, since it is smaller than the sum of its proper divisors (151005726).

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

74981376 is an equidigital number, since it uses as much as digits as its factorization.

74981376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 118 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 74981376 is about 8659.1787139428. The cubic root of 74981376 is about 421.6814228945.

It can be divided in two parts, 74981 and 376, that added together give a palindrome (75357).

The spelling of 74981376 in words is "seventy-four million, nine hundred eighty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 113 128 144 162 192 216 226 256 288 324 339 384 432 452 512 576 648 678 768 864 904 1017 1024 1152 1296 1356 1536 1728 1808 2034 2048 2304 2592 2712 3051 3072 3456 3616 4068 4096 4608 5184 5424 6102 6144 6912 7232 8136 8192 9153 9216 10368 10848 12204 12288 13824 14464 16272 18306 18432 20736 21696 24408 24576 27648 28928 32544 36612 36864 41472 43392 48816 55296 57856 65088 73224 73728 82944 86784 97632 110592 115712 130176 146448 165888 173568 195264 221184 231424 260352 292896 331776 347136 390528 462848 520704 585792 663552 694272 781056 925696 1041408 1171584 1388544 1562112 2082816 2343168 2777088 3124224 4165632 4686336 6248448 8331264 9372672 12496896 18745344 24993792 37490688 74981376