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74648364 = 22372791607
BaseRepresentation
bin1000111001100…
…00101100101100
312012110112022020
410130300230230
5123102221424
611223550140
71564333500
oct434605454
9165415266
1074648364
113915646a
1220bbb350
131260853b
149cb2300
156848079
hex4730b2c

74648364 has 72 divisors (see below), whose sum is σ = 205309440. Its totient is φ = 21045024.

The previous prime is 74648333. The next prime is 74648369. The reversal of 74648364 is 46384647.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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 (74648369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45649 + ... + 47255.

It is an arithmetic number, because the mean of its divisors is an integer number (2851520).

Almost surely, 274648364 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 74648364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102654720).

74648364 is an abundant number, since it is smaller than the sum of its proper divisors (130661076).

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

74648364 is a wasteful number, since it uses less digits than its factorization.

74648364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1707 (or 1698 counting only the distinct ones).

The product of its digits is 387072, while the sum is 42.

The square root of 74648364 is about 8639.9284719261. The cubic root of 74648364 is about 421.0562304177.

The spelling of 74648364 in words is "seventy-four million, six hundred forty-eight thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 79 84 98 147 158 196 237 294 316 474 553 588 948 1106 1607 1659 2212 3214 3318 3871 4821 6428 6636 7742 9642 11249 11613 15484 19284 22498 23226 33747 44996 46452 67494 78743 126953 134988 157486 236229 253906 314972 380859 472458 507812 761718 888671 944916 1523436 1777342 2666013 3554684 5332026 6220697 10664052 12441394 18662091 24882788 37324182 74648364