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672408528 = 243114189349
BaseRepresentation
bin101000000101000…
…010001111010000
31201212020220002120
4220011002033100
52334114033103
6150420014240
722443243501
oct5005021720
91655226076
10672408528
11315614530
12169231380
13a93cb78c
1465434ba8
153e072253
hex281423d0

672408528 has 160 divisors (see below), whose sum is σ = 1968624000. Its totient is φ = 195993600.

The previous prime is 672408523. The next prime is 672408563. The reversal of 672408528 is 825804276.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 672408528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672408521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1926498 + ... + 1926846.

It is an arithmetic number, because the mean of its divisors is an integer number (12303900).

Almost surely, 2672408528 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 672408528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984312000).

672408528 is an abundant number, since it is smaller than the sum of its proper divisors (1296215472).

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

672408528 is a wasteful number, since it uses less digits than its factorization.

672408528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 672408528 is about 25930.8412512977. The cubic root of 672408528 is about 876.0812876758.

The spelling of 672408528 in words is "six hundred seventy-two million, four hundred eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 41 44 48 66 82 88 89 123 132 164 176 178 246 264 267 328 349 356 451 492 528 534 656 698 712 902 979 984 1047 1068 1353 1396 1424 1804 1958 1968 2094 2136 2706 2792 2937 3608 3649 3839 3916 4188 4272 5412 5584 5874 7216 7298 7678 7832 8376 10824 10947 11517 11748 14309 14596 15356 15664 16752 21648 21894 23034 23496 28618 29192 30712 31061 40139 42927 43788 46068 46992 57236 58384 61424 62122 80278 85854 87576 92136 93183 114472 120417 124244 157399 160556 171708 175152 184272 186366 228944 240834 248488 314798 321112 341671 343416 372732 472197 481668 496976 629596 642224 683342 686832 745464 944394 963336 1025013 1259192 1273501 1366684 1490928 1888788 1926672 2050026 2518384 2547002 2733368 3777576 3820503 4100052 5094004 5466736 7555152 7641006 8200104 10188008 14008511 15282012 16400208 20376016 28017022 30564024 42025533 56034044 61128048 84051066 112068088 168102132 224136176 336204264 672408528