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48970240 = 295113747
BaseRepresentation
bin1011101011001…
…1101000000000
310102010221112121
42322303220000
5100014021430
64505334024
71133145244
oct272635000
9112127477
1048970240
1125708080
1214497314
13a1b7797
14670a424
154474a7a
hex2eb3a00

48970240 has 160 divisors (see below), whose sum is σ = 134348544. Its totient is φ = 16957440.

The previous prime is 48970231. The next prime is 48970247. The reversal of 48970240 is 4207984.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 48970196 and 48970205.

It is not an unprimeable number, because it can be changed into a prime (48970247) 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 15 ways as a sum of consecutive naturals, for example, 1041897 + ... + 1041943.

Almost surely, 248970240 is an apocalyptic number.

48970240 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 48970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67174272).

48970240 is an abundant number, since it is smaller than the sum of its proper divisors (85378304).

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

48970240 is a wasteful number, since it uses less digits than its factorization.

48970240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 48970240 is about 6997.8739628547. The cubic root of 48970240 is about 365.8564737287.

The spelling of 48970240 in words is "forty-eight million, nine hundred seventy thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 37 40 44 47 55 64 74 80 88 94 110 128 148 160 176 185 188 220 235 256 296 320 352 370 376 407 440 470 512 517 592 640 704 740 752 814 880 940 1034 1184 1280 1408 1480 1504 1628 1739 1760 1880 2035 2068 2368 2560 2585 2816 2960 3008 3256 3478 3520 3760 4070 4136 4736 5170 5632 5920 6016 6512 6956 7040 7520 8140 8272 8695 9472 10340 11840 12032 13024 13912 14080 15040 16280 16544 17390 18944 19129 20680 23680 24064 26048 27824 28160 30080 32560 33088 34780 38258 41360 47360 52096 55648 60160 65120 66176 69560 76516 82720 94720 95645 104192 111296 120320 130240 132352 139120 153032 165440 191290 208384 222592 260480 264704 278240 306064 330880 382580 445184 520960 556480 612128 661760 765160 890368 1041920 1112960 1224256 1323520 1530320 2225920 2448512 3060640 4451840 4897024 6121280 9794048 12242560 24485120 48970240