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48122640 = 2433522279
BaseRepresentation
bin1011011110010…
…0101100010000
310100112212212000
42313210230100
544304411030
64435234000
71123015146
oct267445420
9110485760
1048122640
1125189285
1214148900
139c7ba47
146569596
154358860
hex2de4b10

48122640 has 80 divisors (see below), whose sum is σ = 165763200. Its totient is φ = 12832128.

The previous prime is 48122623. The next prime is 48122663. The reversal of 48122640 is 4622184.

48122640 is a `hidden beast` number, since 4 + 8 + 12 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8980 + ... + 13299.

It is an arithmetic number, because the mean of its divisors is an integer number (2072040).

Almost surely, 248122640 is an apocalyptic number.

48122640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48122640 is an abundant number, since it is smaller than the sum of its proper divisors (117640560).

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

48122640 is a wasteful number, since it uses less digits than its factorization.

48122640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22301 (or 22289 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 48122640 is about 6937.0483636775. The cubic root of 48122640 is about 363.7333715430.

The spelling of 48122640 in words is "forty-eight million, one hundred twenty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 22279 44558 66837 89116 111395 133674 178232 200511 222790 267348 334185 356464 401022 445580 534696 601533 668370 802044 891160 1002555 1069392 1203066 1336740 1604088 1782320 2005110 2406132 2673480 3007665 3208176 4010220 4812264 5346960 6015330 8020440 9624528 12030660 16040880 24061320 48122640