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74377056 = 2531361977
BaseRepresentation
bin1000110111011…
…10011101100000
312011221202010210
410123232131200
5123020031211
611214054120
71562123505
oct433563540
9164852123
1074377056
1138a90646
1220aaa340
1312541bc0
149c414ac
1567e29a6
hex46ee760

74377056 has 96 divisors (see below), whose sum is σ = 213923808. Its totient is φ = 22487040.

The previous prime is 74377049. The next prime is 74377097. The reversal of 74377056 is 65077347.

74377056 = T1531 + T1532 + ... + T1591.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) 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 (39).

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, 75640 + ... + 76616.

It is an arithmetic number, because the mean of its divisors is an integer number (2228373).

Almost surely, 274377056 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 74377056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106961904).

74377056 is an abundant number, since it is smaller than the sum of its proper divisors (139546752).

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

74377056 is a wasteful number, since it uses less digits than its factorization.

74377056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 39.

The square root of 74377056 is about 8624.2133554313. The cubic root of 74377056 is about 420.5455043333.

The spelling of 74377056 in words is "seventy-four million, three hundred seventy-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 61 78 96 104 122 156 183 208 244 312 366 416 488 624 732 793 976 977 1248 1464 1586 1952 1954 2379 2928 2931 3172 3908 4758 5856 5862 6344 7816 9516 11724 12688 12701 15632 19032 23448 25376 25402 31264 38064 38103 46896 50804 59597 76128 76206 93792 101608 119194 152412 178791 203216 238388 304824 357582 406432 476776 609648 715164 774761 953552 1219296 1430328 1549522 1907104 2324283 2860656 3099044 4648566 5721312 6198088 9297132 12396176 18594264 24792352 37188528 74377056