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377552742 = 23721319803
BaseRepresentation
bin10110100000001…
…111111101100110
3222022102122222220
4112200033331212
51233123141432
6101244133210
712233100600
oct2640177546
9868378886
10377552742
11184133a66
12a6537206
13602b22b8
1438200170
152322c72c
hex1680ff66

377552742 has 48 divisors (see below), whose sum is σ = 885183552. Its totient is φ = 107037840.

The previous prime is 377552719. The next prime is 377552753. The reversal of 377552742 is 247255773.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 377552694 and 377552703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33613 + ... + 43415.

It is an arithmetic number, because the mean of its divisors is an integer number (18441324).

Almost surely, 2377552742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 377552742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442591776).

377552742 is an abundant number, since it is smaller than the sum of its proper divisors (507630810).

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

377552742 is a wasteful number, since it uses less digits than its factorization.

377552742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9953 (or 9946 counting only the distinct ones).

The product of its digits is 411600, while the sum is 42.

The square root of 377552742 is about 19430.7164561681. The cubic root of 377552742 is about 722.7573933155.

The spelling of 377552742 in words is "three hundred seventy-seven million, five hundred fifty-two thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 131 147 262 294 393 786 917 1834 2751 5502 6419 9803 12838 19257 19606 29409 38514 58818 68621 137242 205863 411726 480347 960694 1284193 1441041 2568386 2882082 3852579 7705158 8989351 17978702 26968053 53936106 62925457 125850914 188776371 377552742