Search a number
-
+
379972416 = 2636132443
BaseRepresentation
bin10110101001011…
…110101101000000
3222110222121011110
4112221132231000
51234233104131
6101412043320
712262466205
oct2651365500
9873877143
10379972416
1118553699a
12a7303540
136094b765
143866dcac
1523559646
hex16a5eb40

379972416 has 56 divisors (see below), whose sum is σ = 1021856224. Its totient is φ = 124577280.

The previous prime is 379972399. The next prime is 379972427. The reversal of 379972416 is 614279973.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4510 + ... + 27933.

Almost surely, 2379972416 is an apocalyptic number.

It is an amenable number.

379972416 is an abundant number, since it is smaller than the sum of its proper divisors (641883808).

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

379972416 is a wasteful number, since it uses less digits than its factorization.

379972416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32519 (or 32509 counting only the distinct ones).

The product of its digits is 571536, while the sum is 48.

The square root of 379972416 is about 19492.8811621063. The cubic root of 379972416 is about 724.2981180230.

The spelling of 379972416 in words is "three hundred seventy-nine million, nine hundred seventy-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 183 192 244 366 488 732 976 1464 1952 2928 3904 5856 11712 32443 64886 97329 129772 194658 259544 389316 519088 778632 1038176 1557264 1979023 2076352 3114528 3958046 5937069 6229056 7916092 11874138 15832184 23748276 31664368 47496552 63328736 94993104 126657472 189986208 379972416