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48954465 = 32572329233
BaseRepresentation
bin1011101010111…
…1110001100001
310102010010220100
42322233301201
5100013020330
64505133013
71133051250
oct272576141
9112103810
1048954465
11256a723a
121448a169
13a1b0551
146704797
154470060
hex2eafc61

48954465 has 96 divisors (see below), whose sum is σ = 105131520. Its totient is φ = 20579328.

The previous prime is 48954463. The next prime is 48954491. The reversal of 48954465 is 56445984.

48954465 is a `hidden beast` number, since 48 + 9 + 544 + 65 = 666.

It is not a de Polignac number, because 48954465 - 21 = 48954463 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (691200) is a multiple of the sum of its prime divisors (300).

It is a self number, because there is not a number n which added to its sum of digits gives 48954465.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48954461) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 209989 + ... + 210221.

It is an arithmetic number, because the mean of its divisors is an integer number (1095120).

Almost surely, 248954465 is an apocalyptic number.

48954465 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

48954465 is an abundant number, since it is smaller than the sum of its proper divisors (56177055).

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

48954465 is a wasteful number, since it uses less digits than its factorization.

48954465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 300 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 48954465 is about 6996.7467440233. The cubic root of 48954465 is about 365.8171845215.

The spelling of 48954465 in words is "forty-eight million, nine hundred fifty-four thousand, four hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 23 29 35 45 63 69 87 105 115 145 161 203 207 233 261 315 345 435 483 609 667 699 805 1015 1035 1165 1305 1449 1631 1827 2001 2097 2415 3045 3335 3495 4669 4893 5359 6003 6757 7245 8155 9135 10005 10485 14007 14679 16077 20271 23345 24465 26795 30015 33785 37513 42021 47299 48231 60813 70035 73395 80385 101355 112539 141897 155411 187565 210105 236495 241155 304065 337617 425691 466233 562695 709485 777055 1087877 1398699 1688085 2128455 2331165 3263631 5439385 6993495 9790893 16318155 48954465