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48970992 = 2437247443
BaseRepresentation
bin1011101011001…
…1110011110000
310102010222120110
42322303303300
5100014032432
64505341320
71133150400
oct272636360
9112128513
1048970992
11257086a4
1214497840
13a1b7c25
14670a800
154474dcc
hex2eb3cf0

48970992 has 120 divisors (see below), whose sum is σ = 150633216. Its totient is φ = 13663104.

The previous prime is 48970981. The next prime is 48971009. The reversal of 48970992 is 29907984.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110323 + ... + 110765.

Almost surely, 248970992 is an apocalyptic number.

48970992 is a gapful number since it is divisible by the number (42) 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 48970992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75316608).

48970992 is an abundant number, since it is smaller than the sum of its proper divisors (101662224).

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

48970992 is a wasteful number, since it uses less digits than its factorization.

48970992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 48970992 is about 6997.9276932532. The cubic root of 48970992 is about 365.8583464488.

The spelling of 48970992 in words is "forty-eight million, nine hundred seventy thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 47 48 49 56 84 94 98 112 141 147 168 188 196 282 294 329 336 376 392 443 564 588 658 752 784 886 987 1128 1176 1316 1329 1772 1974 2256 2303 2352 2632 2658 3101 3544 3948 4606 5264 5316 6202 6909 7088 7896 9212 9303 10632 12404 13818 15792 18424 18606 20821 21264 21707 24808 27636 36848 37212 41642 43414 49616 55272 62463 65121 74424 83284 86828 110544 124926 130242 145747 148848 166568 173656 249852 260484 291494 333136 347312 437241 499704 520968 582988 874482 999408 1020229 1041936 1165976 1748964 2040458 2331952 3060687 3497928 4080916 6121374 6995856 8161832 12242748 16323664 24485496 48970992