Search a number
-
+
149039856 = 24327199743
BaseRepresentation
bin10001110001000…
…10101011110000
3101101110000020200
420320202223300
5301123233411
622442235200
73456550350
oct1070425360
9341400220
10149039856
1177146939
1241ab5b00
1324b53b84
1415b18b60
15d13ee56
hex8e22af0

149039856 has 120 divisors (see below), whose sum is σ = 479731200. Its totient is φ = 42311808.

The previous prime is 149039843. The next prime is 149039861. The reversal of 149039856 is 658930941.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200221 + ... + 200963.

It is an arithmetic number, because the mean of its divisors is an integer number (3997760).

Almost surely, 2149039856 is an apocalyptic number.

149039856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149039856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239865600).

149039856 is an abundant number, since it is smaller than the sum of its proper divisors (330691344).

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

149039856 is a wasteful number, since it uses less digits than its factorization.

149039856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 149039856 is about 12208.1880719458. The cubic root of 149039856 is about 530.1931845895.

The spelling of 149039856 in words is "one hundred forty-nine million, thirty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 199 252 336 398 504 597 743 796 1008 1194 1393 1486 1592 1791 2229 2388 2786 2972 3184 3582 4179 4458 4776 5201 5572 5944 6687 7164 8358 8916 9552 10402 11144 11888 12537 13374 14328 15603 16716 17832 20804 22288 25074 26748 28656 31206 33432 35664 41608 46809 50148 53496 62412 66864 83216 93618 100296 106992 124824 147857 187236 200592 249648 295714 374472 443571 591428 748944 887142 1034999 1182856 1330713 1774284 2069998 2365712 2661426 3104997 3548568 4139996 5322852 6209994 7097136 8279992 9314991 10645704 12419988 16559984 18629982 21291408 24839976 37259964 49679952 74519928 149039856