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4292955100 = 2252723326321
BaseRepresentation
bin1111111111100001…
…0100101111011100
3102002011221201022001
43333320110233130
532242444030400
61545552532044
7211245342040
oct37770245734
912064851261
104292955100
111903296785
129b9851024
13535523a25
142ca212020
151a1d41a6a
hexffe14bdc

4292955100 has 72 divisors (see below), whose sum is σ = 10692628128. Its totient is φ = 1465497600.

The previous prime is 4292955097. The next prime is 4292955131. The reversal of 4292955100 is 15592924.

It is a self number, because there is not a number n which added to its sum of digits gives 4292955100.

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, 149940 + ... + 176260.

It is an arithmetic number, because the mean of its divisors is an integer number (148508724).

Almost surely, 24292955100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4292955100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5346314064).

4292955100 is an abundant number, since it is smaller than the sum of its proper divisors (6399673028).

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

4292955100 is a wasteful number, since it uses less digits than its factorization.

4292955100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26575 (or 26568 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

The square root of 4292955100 is about 65520.6463643331. The cubic root of 4292955100 is about 1625.2447883700.

The spelling of 4292955100 in words is "four billion, two hundred ninety-two million, nine hundred fifty-five thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 233 350 466 700 932 1165 1631 2330 3262 4660 5825 6524 8155 11650 16310 23300 26321 32620 40775 52642 81550 105284 131605 163100 184247 263210 368494 526420 658025 736988 921235 1316050 1842470 2632100 3684940 4606175 6132793 9212350 12265586 18424700 24531172 30663965 42929551 61327930 85859102 122655860 153319825 171718204 214647755 306639650 429295510 613279300 858591020 1073238775 2146477550 4292955100