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672872772 = 2231121343829
BaseRepresentation
bin101000000110110…
…011100101000100
31201220010110220210
4220012303211010
52334223412042
6150433555420
722450216125
oct5006634504
91656113823
10672872772
11315901300
12169415b70
13a9531b90
146551604c
153e114a9c
hex281b3944

672872772 has 144 divisors (see below), whose sum is σ = 1904006720. Its totient is φ = 183617280.

The previous prime is 672872737. The next prime is 672872779. The reversal of 672872772 is 277278276.

It is not an unprimeable number, because it can be changed into a prime (672872779) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 811254 + ... + 812082.

Almost surely, 2672872772 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 672872772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952003360).

672872772 is an abundant number, since it is smaller than the sum of its proper divisors (1231133948).

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

672872772 is a wasteful number, since it uses less digits than its factorization.

672872772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 901 counting only the distinct ones).

The product of its digits is 921984, while the sum is 48.

The square root of 672872772 is about 25939.7912867471. The cubic root of 672872772 is about 876.2828625115.

The spelling of 672872772 in words is "six hundred seventy-two million, eight hundred seventy-two thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 43 44 52 66 78 86 121 129 132 143 156 172 242 258 286 363 429 473 484 516 559 572 726 829 858 946 1118 1419 1452 1573 1658 1677 1716 1892 2236 2487 2838 3146 3316 3354 4719 4974 5203 5676 6149 6292 6708 9119 9438 9948 10406 10777 12298 15609 18238 18447 18876 20812 21554 24596 27357 31218 32331 35647 36476 36894 43108 54714 62436 64662 67639 71294 73788 100309 106941 109428 118547 129324 135278 142588 200618 202917 213882 237094 270556 300927 355641 392117 401236 405834 427764 463411 474188 601854 711282 784234 811668 926822 1176351 1203708 1304017 1390233 1422564 1568468 1853644 2352702 2608034 2780466 3912051 4313287 4705404 5097521 5216068 5560932 7824102 8626574 10195042 12939861 15292563 15648204 17253148 20390084 25879722 30585126 51759444 56072731 61170252 112145462 168218193 224290924 336436386 672872772