Search a number
-
+
501392016 = 243217316607
BaseRepresentation
bin11101111000101…
…010001010010000
31021221110100112200
4131320222022100
52011324021031
6121430323200
715265522206
oct3570521220
91257410480
10501392016
11238028274
1211bab9500
137cb51888
144a839076
152e0408e6
hex1de2a290

501392016 has 120 divisors (see below), whose sum is σ = 1533901824. Its totient is φ = 152202240.

The previous prime is 501391981. The next prime is 501392041. The reversal of 501392016 is 610293105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72585 + ... + 79191.

Almost surely, 2501392016 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 501392016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766950912).

501392016 is an abundant number, since it is smaller than the sum of its proper divisors (1032509808).

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

501392016 is a wasteful number, since it uses less digits than its factorization.

501392016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6669 (or 6660 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 501392016 is about 22391.7845648800. The cubic root of 501392016 is about 794.4364060557.

The spelling of 501392016 in words is "five hundred one million, three hundred ninety-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 31 34 36 48 51 62 68 72 93 102 124 136 144 153 186 204 248 272 279 306 372 408 496 527 558 612 744 816 1054 1116 1224 1488 1581 2108 2232 2448 3162 4216 4464 4743 6324 6607 8432 9486 12648 13214 18972 19821 25296 26428 37944 39642 52856 59463 75888 79284 105712 112319 118926 158568 204817 224638 237852 317136 336957 409634 449276 475704 614451 673914 819268 898552 951408 1010871 1228902 1347828 1638536 1797104 1843353 2021742 2457804 2695656 3277072 3481889 3686706 4043484 4915608 5391312 6963778 7373412 8086968 9831216 10445667 13927556 14746824 16173936 20891334 27855112 29493648 31337001 41782668 55710224 62674002 83565336 125348004 167130672 250696008 501392016