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48319440 = 24351317911
BaseRepresentation
bin1011100001010…
…0101111010000
310100220212210220
42320110233100
544332210230
64443353040
71124465001
oct270245720
9110825726
1048319440
1125303124
1214222780
13a01a4b0
1465bb1a8
154396d10
hex2e14bd0

48319440 has 160 divisors (see below), whose sum is σ = 170989056. Its totient is φ = 11182080.

The previous prime is 48319393. The next prime is 48319441. The reversal of 48319440 is 4491384.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48319441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52585 + ... + 53495.

Almost surely, 248319440 is an apocalyptic number.

48319440 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 48319440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85494528).

48319440 is an abundant number, since it is smaller than the sum of its proper divisors (122669616).

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

48319440 is a wasteful number, since it uses less digits than its factorization.

48319440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 48319440 is about 6951.2185982028. The cubic root of 48319440 is about 364.2285325746.

The spelling of 48319440 in words is "forty-eight million, three hundred nineteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 26 30 34 39 40 48 51 52 60 65 68 78 80 85 102 104 120 130 136 156 170 195 204 208 221 240 255 260 272 312 340 390 408 442 510 520 624 663 680 780 816 884 911 1020 1040 1105 1326 1360 1560 1768 1822 2040 2210 2652 2733 3120 3315 3536 3644 4080 4420 4555 5304 5466 6630 7288 8840 9110 10608 10932 11843 13260 13665 14576 15487 17680 18220 21864 23686 26520 27330 30974 35529 36440 43728 46461 47372 53040 54660 59215 61948 71058 72880 77435 92922 94744 109320 118430 123896 142116 154870 177645 185844 189488 201331 218640 232305 236860 247792 284232 309740 355290 371688 402662 464610 473720 568464 603993 619480 710580 743376 805324 929220 947440 1006655 1207986 1238960 1421160 1610648 1858440 2013310 2415972 2842320 3019965 3221296 3716880 4026620 4831944 6039930 8053240 9663888 12079860 16106480 24159720 48319440