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675063972 = 2232112922027
BaseRepresentation
bin101000001111001…
…010100010100100
31202001020210200100
4220033022202210
52340304021342
6150552544100
722504643352
oct5017124244
91661223610
10675063972
11317068610
1216a0b2030
13a9b1b34b
14659267d2
153e3e8e4c
hex283ca8a4

675063972 has 108 divisors (see below), whose sum is σ = 1928895696. Its totient is φ = 197413440.

The previous prime is 675063947. The next prime is 675063973. The reversal of 675063972 is 279360576.

675063972 is a `hidden beast` number, since 6 + 7 + 5 + 0 + 639 + 7 + 2 = 666.

It is a super-2 number, since 2×6750639722 = 911422732584833568, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (675063973) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 332023 + ... + 334049.

Almost surely, 2675063972 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 675063972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964447848).

675063972 is an abundant number, since it is smaller than the sum of its proper divisors (1253831724).

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

675063972 is a wasteful number, since it uses less digits than its factorization.

675063972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2106 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 675063972 is about 25981.9932260787. The cubic root of 675063972 is about 877.2330324792.

The spelling of 675063972 in words is "six hundred seventy-five million, sixty-three thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 198 261 319 348 396 522 638 841 957 1044 1276 1682 1914 2027 2523 2871 3364 3828 4054 5046 5742 6081 7569 8108 9251 10092 11484 12162 15138 18243 18502 22297 24324 27753 30276 36486 37004 44594 55506 58783 66891 72972 83259 89188 111012 117566 133782 166518 176349 200673 235132 267564 333036 352698 401346 529047 646613 705396 802692 1058094 1293226 1704707 1939839 2116188 2586452 3409414 3879678 5114121 5819517 6818828 7759356 10228242 11639034 15342363 18751777 20456484 23278068 30684726 37503554 56255331 61369452 75007108 112510662 168765993 225021324 337531986 675063972