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48167840 = 2557291483
BaseRepresentation
bin1011011110111…
…1101110100000
310100122011212002
42313233232200
544312332330
64440223132
71123264010
oct267575640
9110564762
1048167840
112520a236
121416aaa8
139c964a6
14657bc40
154366e45
hex2defba0

48167840 has 96 divisors (see below), whose sum is σ = 134628480. Its totient is φ = 15934464.

The previous prime is 48167839. The next prime is 48167843. The reversal of 48167840 is 4876184.

It is a junction number, because it is equal to n+sod(n) for n = 48167794 and 48167803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48167843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31739 + ... + 33221.

It is an arithmetic number, because the mean of its divisors is an integer number (1402380).

Almost surely, 248167840 is an apocalyptic number.

48167840 is a gapful number since it is divisible by the number (40) 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 48167840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67314240).

48167840 is an abundant number, since it is smaller than the sum of its proper divisors (86460640).

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

48167840 is a wasteful number, since it uses less digits than its factorization.

48167840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 48167840 is about 6940.3054687816. The cubic root of 48167840 is about 363.8472168049.

The spelling of 48167840 in words is "forty-eight million, one hundred sixty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 56 58 70 80 112 116 140 145 160 203 224 232 280 290 406 464 560 580 812 928 1015 1120 1160 1483 1624 2030 2320 2966 3248 4060 4640 5932 6496 7415 8120 10381 11864 14830 16240 20762 23728 29660 32480 41524 43007 47456 51905 59320 83048 86014 103810 118640 166096 172028 207620 215035 237280 301049 332192 344056 415240 430070 602098 688112 830480 860140 1204196 1376224 1505245 1660960 1720280 2408392 3010490 3440560 4816784 6020980 6881120 9633568 12041960 24083920 48167840