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48191616 = 2732113803
BaseRepresentation
bin1011011111010…
…1100010000000
310100200101110200
42313311202000
544314112431
64440525200
71123423224
oct267654200
9110611420
1048191616
1125226090
1214180800
139ca4265
146586784
15436dee6
hex2df5880

48191616 has 96 divisors (see below), whose sum is σ = 151323120. Its totient is φ = 14599680.

The previous prime is 48191609. The next prime is 48191677. The reversal of 48191616 is 61619184.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10771 + ... + 14573.

Almost surely, 248191616 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 48191616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75661560).

48191616 is an abundant number, since it is smaller than the sum of its proper divisors (103131504).

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

48191616 is a wasteful number, since it uses less digits than its factorization.

48191616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3834 (or 3819 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 48191616 is about 6942.0181503652. The cubic root of 48191616 is about 363.9070728447.

The spelling of 48191616 in words is "forty-eight million, one hundred ninety-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 2112 3168 3803 4224 6336 7606 11409 12672 15212 22818 30424 34227 41833 45636 60848 68454 83666 91272 121696 125499 136908 167332 182544 243392 250998 273816 334664 365088 376497 486784 501996 547632 669328 730176 752994 1003992 1095264 1338656 1460352 1505988 2007984 2190528 2677312 3011976 4015968 4381056 5354624 6023952 8031936 12047904 16063872 24095808 48191616