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377503056 = 2432737643
BaseRepresentation
bin10110100000000…
…011110101010000
3222022100010211200
4112200003311100
51233120044211
6101243111200
712232503000
oct2640036520
9868303750
10377503056
111840aa6a7
12a6512500
13602957b8
14381ca000
152321cb56
hex16803d50

377503056 has 120 divisors (see below), whose sum is σ = 1232212800. Its totient is φ = 107843904.

The previous prime is 377502997. The next prime is 377503067. The reversal of 377503056 is 650305773.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 377503056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45571 + ... + 53213.

It is an arithmetic number, because the mean of its divisors is an integer number (10268440).

Almost surely, 2377503056 is an apocalyptic number.

377503056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 377503056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616106400).

377503056 is an abundant number, since it is smaller than the sum of its proper divisors (854709744).

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

377503056 is a wasteful number, since it uses less digits than its factorization.

377503056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7678 (or 7655 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 36.

The square root of 377503056 is about 19429.4378714362. The cubic root of 377503056 is about 722.7256869292.

The spelling of 377503056 in words is "three hundred seventy-seven million, five hundred three thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 343 392 441 504 588 686 784 882 1008 1029 1176 1372 1764 2058 2352 2744 3087 3528 4116 5488 6174 7056 7643 8232 12348 15286 16464 22929 24696 30572 45858 49392 53501 61144 68787 91716 107002 122288 137574 160503 183432 214004 275148 321006 366864 374507 428008 481509 550296 642012 749014 856016 963018 1100592 1123521 1284024 1498028 1926036 2247042 2568048 2621549 2996056 3370563 3852072 4494084 5243098 5992112 6741126 7704144 7864647 8988168 10486196 13482252 15729294 17976336 20972392 23593941 26964504 31458588 41944784 47187882 53929008 62917176 94375764 125834352 188751528 377503056