Search a number
-
+
376045056 = 2932791033
BaseRepresentation
bin10110011010011…
…111111000000000
3222012121001211200
4112122133320000
51232231420211
6101151541200
712214221162
oct2632377000
9865531750
10376045056
111832a4242
12a5b2a800
135cba4c8a
1437d2a932
1523030b56
hex1669fe00

376045056 has 120 divisors (see below), whose sum is σ = 1100093280. Its totient is φ = 123641856.

The previous prime is 376045051. The next prime is 376045067. The reversal of 376045056 is 650540673.

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

It is a self number, because there is not a number n which added to its sum of digits gives 376045056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (376045051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 363516 + ... + 364548.

It is an arithmetic number, because the mean of its divisors is an integer number (9167444).

Almost surely, 2376045056 is an apocalyptic number.

376045056 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 376045056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550046640).

376045056 is an abundant number, since it is smaller than the sum of its proper divisors (724048224).

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

376045056 is a wasteful number, since it uses less digits than its factorization.

376045056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 376045056 is about 19391.8811877548. The cubic root of 376045056 is about 721.7940445337.

The spelling of 376045056 in words is "three hundred seventy-six million, forty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 79 96 128 144 158 192 237 256 288 316 384 474 512 576 632 711 768 948 1033 1152 1264 1422 1536 1896 2066 2304 2528 2844 3099 3792 4132 4608 5056 5688 6198 7584 8264 9297 10112 11376 12396 15168 16528 18594 20224 22752 24792 30336 33056 37188 40448 45504 49584 60672 66112 74376 81607 91008 99168 121344 132224 148752 163214 182016 198336 244821 264448 297504 326428 364032 396672 489642 528896 595008 652856 734463 793344 979284 1190016 1305712 1468926 1586688 1958568 2380032 2611424 2937852 3917136 4760064 5222848 5875704 7834272 10445696 11751408 15668544 20891392 23502816 31337088 41782784 47005632 62674176 94011264 125348352 188022528 376045056