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80709948 = 2232111719631
BaseRepresentation
bin1001100111110…
…00100100111100
312121212111020100
410303320210330
5131130204243
612001521100
72000010654
oct463704474
9177774210
1080709948
1141616640
1223043190
131394b587
14aa0d364
1571440d3
hex4cf893c

80709948 has 144 divisors (see below), whose sum is σ = 248451840. Its totient is φ = 21772800.

The previous prime is 80709943. The next prime is 80709949. The reversal of 80709948 is 84990708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80709943) 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, 127593 + ... + 128223.

It is an arithmetic number, because the mean of its divisors is an integer number (1725360).

Almost surely, 280709948 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 80709948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124225920).

80709948 is an abundant number, since it is smaller than the sum of its proper divisors (167741892).

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

80709948 is a wasteful number, since it uses less digits than its factorization.

80709948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 80709948 is about 8983.8715485029. The cubic root of 80709948 is about 432.1577998625.

The spelling of 80709948 in words is "eighty million, seven hundred nine thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 17 18 19 22 33 34 36 38 44 51 57 66 68 76 99 102 114 132 153 171 187 198 204 209 228 306 323 342 374 396 418 561 612 627 631 646 684 748 836 969 1122 1254 1262 1292 1683 1881 1893 1938 2244 2508 2524 2907 3366 3553 3762 3786 3876 5679 5814 6732 6941 7106 7524 7572 10659 10727 11358 11628 11989 13882 14212 20823 21318 21454 22716 23978 27764 31977 32181 35967 41646 42636 42908 47956 62469 63954 64362 71934 83292 96543 107901 117997 124938 127908 128724 131879 143868 193086 203813 215802 235994 249876 263758 353991 386172 395637 407626 431604 471988 527516 611439 707982 791274 815252 1061973 1186911 1222878 1415964 1582548 1834317 2123946 2241943 2373822 2445756 3668634 4247892 4483886 4747644 6725829 7337268 8967772 13451658 20177487 26903316 40354974 80709948