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48299040 = 25325171973
BaseRepresentation
bin1011100000111…
…1110000100000
310100212211211100
42320033300200
544331032130
64443114400
71124351346
oct270176040
9110784740
1048299040
1125299869
1214212a00
13a01111a
1465b3996
154390c60
hex2e0fc20

48299040 has 144 divisors (see below), whose sum is σ = 174604248. Its totient is φ = 12115968.

The previous prime is 48299039. The next prime is 48299047. The reversal of 48299040 is 4099284.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 38489616 + 9809424 = 6204^2 + 3132^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 48298986 and 48299004.

It is not an unprimeable number, because it can be changed into a prime (48299047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23494 + ... + 25466.

Almost surely, 248299040 is an apocalyptic number.

48299040 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 48299040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87302124).

48299040 is an abundant number, since it is smaller than the sum of its proper divisors (126305208).

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

48299040 is a wasteful number, since it uses less digits than its factorization.

48299040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2011 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 48299040 is about 6949.7510746789. The cubic root of 48299040 is about 364.1772674388.

The spelling of 48299040 in words is "forty-eight million, two hundred ninety-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 60 68 72 80 85 90 96 102 120 136 144 153 160 170 180 204 240 255 272 288 306 340 360 408 480 510 544 612 680 720 765 816 1020 1224 1360 1440 1530 1632 1973 2040 2448 2720 3060 3946 4080 4896 5919 6120 7892 8160 9865 11838 12240 15784 17757 19730 23676 24480 29595 31568 33541 35514 39460 47352 59190 63136 67082 71028 78920 88785 94704 100623 118380 134164 142056 157840 167705 177570 189408 201246 236760 268328 284112 301869 315680 335410 355140 402492 473520 503115 536656 568224 603738 670820 710280 804984 947040 1006230 1073312 1207476 1341640 1420560 1509345 1609968 2012460 2414952 2683280 2841120 3018690 3219936 4024920 4829904 5366560 6037380 8049840 9659808 12074760 16099680 24149520 48299040